Trigonometry on the SAT sits in the Geometry and Trigonometry domain, which College Board puts at about 15% of the Math section, or 5 to 7 of 44 questions. Expect right-triangle sine, cosine and tangent, the sin x = cos(90° − x) rule, special right triangles, and radians on the unit circle.
The law of sines and graphs of trig functions are not on College Board's skill list. Because the list is short, you can study all of it. Our Digital SAT question bank hub sorts each bank by domain, skill and difficulty, so you can practice trig questions from recent tests. Three of them are further down this page.
How is trigonometry tested on the SAT?
It shows up in two of the four Geometry and Trigonometry skills. College Board's SAT Math specifications list the four skills as "Area and volume," "Lines, angles, and triangles," "Right triangles and trigonometry," and "Circles." Trig lives in the third one. Radians and the unit circle live in the fourth.
The skill tables in the Assessment Framework for the Digital SAT Suite (version 4, September 2026, Table A38) list what is in scope:
| College Board skill | What it says (quoted) | What you need to know |
|---|---|---|
| Right triangles and trigonometry | "Solve problems in a variety of contexts using" "the Pythagorean theorem," "properties of special right triangles," and "right triangle trigonometry." | SOHCAHTOA, a2 + b2 = c2, and the 30-60-90 and 45-45-90 triangles. |
| Right triangles and trigonometry | "Use similarity to calculate values of sine, cosine, and tangent." | Similar triangles have equal trig ratios, so a ratio from one triangle works in the other. |
| Right triangles and trigonometry | "Solve problems using the relationship between sine and cosine of complementary angles." | If sin A = cos B for acute angles, then A + B = 90°. |
| Circles | "Solve problems using either radian measure or trigonometric ratios in the unit circle." | sin and cos of angles such as 0, π/2, π and multiples of π. |
| Circles | "Convert between angle measures in degrees and radians." | Multiply by π/180 to get radians, or by 180/π to get degrees. |
What trig is not on the SAT?
We searched the full 2026 framework for "law of sines," "law of cosines," "amplitude," "identity," "sinusoid" and "trigonometric function." None of them appear. College Board's skill list stops at right-triangle trig, complementary angles, and radian and unit-circle values. So spend your time there, not on trig graphs or long identities.
Half of our right-triangle trig questions are labeled Hard. Create a free account and try one full-length adaptive test to see where you stand.
Start 1-day free trial →One more limit: the formula sheet does not teach trig for you. In College Board's SAT Practice Test 4, the math reference page lists area and volume formulas, the special right triangles, and the facts that a circle has 360 degrees and 2π radians of arc. It has no sine, cosine or tangent definitions. You need to know SOHCAHTOA by heart. Our SAT math formulas guide lists everything the sheet leaves out.
How many trig questions are on the SAT?
College Board publishes a count for the whole domain only. Geometry and Trigonometry is about 15% of the section, or 5 to 7 of 44 questions, from the College Board math overview. All four skills share those questions, so trig gets only part of them.
Our banks give a rough guide. Of the 666 Geometry and Trigonometry questions in The Test Advantage's 21 active SAT Math banks, we tag 109 as Right-Triangle Trigonometry and 32 as Radian Measure. That is 141 of 666, or about 21%. Our banks include US and International versions and close variants, so read this as a guide, not an official count. For counts by question type across the whole test, see how many questions are on the digital SAT, by type.
How hard are SAT trig questions?
Right-triangle trig leans hard in our banks. About half of those questions carry a Hard label. Most radian questions sit in the middle: 24 of 32 are Intermediate.
| TTA category (21 active SAT Math banks) | Questions | Easy | Intermediate | Hard |
|---|---|---|---|---|
| Right-Triangle Trigonometry | 109 | 20 (18%) | 34 (31%) | 55 (50%) |
| Radian Measure | 32 | 0 (0%) | 24 (75%) | 8 (25%) |
| Circles | 96 | 8 (8%) | 29 (30%) | 59 (61%) |
| Triangles (non-trig) | 162 | 48 (30%) | 42 (26%) | 72 (44%) |
| All Geometry and Trigonometry | 666 | 138 (21%) | 211 (32%) | 317 (48%) |
| All SAT Math questions in the banks | 3,989 | 1,060 (27%) | 1,404 (35%) | 1,525 (38%) |
These are The Test Advantage's own labels, read from our database on October 13, 2026. College Board does not publish a difficulty for each real question. We pulled 12 Hard right-triangle trig questions without a figure from seven recent banks. In 10 of them, the trick was a second triangle: similar triangles, an altitude drawn inside a right triangle, or an isosceles triangle split in half. The math is SOHCAHTOA. The hard part is finding the right triangle to use it on.
Try 3 real SAT trig questions
These come from our SAT Math question banks. We solved each one ourselves, and our answer matches the bank's key every time.
Question 1: Complementary angles (Intermediate)
See which question types are costing you points
Start with a free mock, free drills, or preview sample questions before using all 45 question banks.
For two acute angles X and Y, the measure of angle Y is 28 degrees and sin X = cos Y. What is the measure, in degrees, of angle X?
A) 28
B) 45
C) 62
D) 73
Show the answer
C) 62. For acute angles, sin X = cos Y means X and Y are complementary: X + Y = 90. So X = 90 − 28 = 62. Choice A assumes the angles are equal. This is the exact rule College Board names: "the relationship between sine and cosine of complementary angles."
From the June 2026 SAT Math Question Bank. Practice more in the free right-triangle trigonometry drill.
Question 2: Tangent inside an isosceles triangle (Hard)
In triangle RST, RS = ST and the length of RT is 76 units. If tan R = 9/38, what is the area, in square units, of triangle RST?
A) 722
B) 684
C) 342
D) 171
Show the answer
C) 342. Since RS = ST, the triangle is isosceles with base RT. Drop a height from S to the middle of RT. That makes a right triangle with a base of 76 ÷ 2 = 38. Tangent is opposite over adjacent, so height ÷ 38 = 9/38, and the height is 9. Area = ½ × 76 × 9 = 342. Choice B (684) forgets the ½. Choice D (171) uses the half base, 38, and also the ½.
From the June 2026 SAT Math Question Bank (US).
Question 3: Radians to degrees (Intermediate)
The measure of angle R is 5π/6 radians. The measure of angle T is 7π/12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?
A) 105
B) 150
C) 255
D) 510
Show the answer
C) 255. Convert each part with 180/π. 5π/6 radians = 150°. 7π/12 radians = 105°. Angle T = 150 + 105 = 255°. Choices A and B are the two parts on their own. Choice D doubles the right answer.
From the October 2024 SAT Math Question Bank. Practice more in the free radian measure drill and read our radian to degree conversion guide.
Can you use Desmos on SAT trig questions?
Yes. A built-in Desmos calculator is available for the entire Math section, according to the College Board framework. Two warnings. First, check the angle mode. In degrees, sin(30) is 0.5. If you see about −0.99, the calculator is reading 30 as radians. Second, Desmos does not find the triangle for you. In Question 2, no keystroke tells you to split the triangle in half.
For radian values like sin(18π), typing the expression into Desmos and comparing with the choices works well. Our guide to the calculator method for tricky trig problems walks through it, and the free Desmos for the SAT hub lets you practice on the same calculator.
How should you study trig for the SAT?
- Memorize the short list. SOHCAHTOA, the two special right triangles, sin x = cos(90° − x), and the radian conversion. That covers College Board's whole trig list.
- Practice finding the triangle. In the hard questions we pulled, the setup was the hard part. Work the free right-triangle trigonometry drill and the circles drill.
- Move to question bank practice. Open a recent bank and work its Geometry and Trigonometry section. You can also try five sample questions from any test without an account in our practice test catalog.
- Test it under time. A free account (no card required) includes one full-length adaptive test.
Next, read the hardest SAT math question types, how percentages and ratios are tested on the digital SAT, and how to solve hard Module 2 SAT math questions.
How we built this page: the domain share, question counts and skill list come from College Board's SAT Math specifications and Math overview pages, and we quoted the skill text from Table A38 of the Assessment Framework for the Digital SAT Suite, version 4 (September 2026). We searched the full framework text for law of sines, law of cosines, amplitude and identity (0 matches). We read the reference page in College Board's SAT Practice Test 4 PDF (printed page 30). We fetched and checked all of them on October 13, 2026. The difficulty table is a read-only query of The Test Advantage database run the same day over all 3,989 questions in our 21 active, public SAT Math banks. The three questions are ids 213871, 619035 and 560402. We solved each one on our own, and every answer matches the bank's key. The Test Advantage is not affiliated with College Board.
Frequently Asked Questions
How is trigonometry tested on the SAT?
Through two Geometry and Trigonometry skills. Right triangles and trigonometry covers the Pythagorean theorem, special right triangles, right triangle trigonometry, using similarity to find sine, cosine and tangent, and sine and cosine of complementary angles. Circles covers radian measure, trig ratios in the unit circle, and converting between degrees and radians.
What trig is not on the SAT?
College Board's 2026 Assessment Framework does not mention the law of sines, the law of cosines, amplitude, sinusoids or trig identities beyond the complementary-angle rule. The reference sheet gives special right triangles and says a circle has 2 pi radians of arc, but it does not define sine, cosine or tangent.
How many trig questions are on the SAT?
College Board only gives a count for the whole Geometry and Trigonometry domain: about 15%, or 5 to 7 of 44 Math questions, shared by four skills. In The Test Advantage's 21 SAT Math banks, 141 of 666 Geometry and Trigonometry questions (about 21%) are tagged Right-Triangle Trigonometry or Radian Measure.
How hard are SAT trig questions?
In The Test Advantage's banks, 55 of 109 right-triangle trig questions (50%) are labeled Hard, compared with 38% of all 3,989 math questions. Radian questions are mostly Intermediate (24 of 32). Hard trig questions usually hide a second triangle, such as an altitude or similar triangles.
Can you use Desmos on SAT trig questions?
Yes. Desmos is built into Bluebook for the entire Math section. It helps with radian values and checking answer choices. Check the angle mode first: in degrees, sin(30) is 0.5. Desmos will not find the hidden triangle for you, so you still need SOHCAHTOA.