Geometry & Trigonometry • 15% of test
Trigonometry
Select your difficulty level to start practicing. We recommend mastering each level before moving to the next.
Beginner5 Sets
Beginner Practice
Start here to build your foundation. Clear problems and straightforward calculations.
Target Score
400-550
Intermediate5 Sets
Intermediate Practice
Level up with more complex equations and multi-step problems.
Target Score
550-700
Advanced3 Sets
Advanced Practice
Master the hardest concepts. Complex word problems and abstract applications.
Target Score
700-800
What is Trigonometry?
SAT trigonometry focuses on right triangle trig ratios (sin, cos, tan) and the complementary angle relationship. Unit circle knowledge is helpful but not essential.
Step-by-Step Strategy
⚠️ Common Traps to Avoid
Frequently Asked Questions
What is SOH-CAH-TOA?
A mnemonic: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
What's the complementary angle relationship?
sin(θ) = cos(90°-θ). The sine of an angle equals the cosine of its complement.
What angle values should I memorize?
sin/cos/tan for 0°, 30°, 45°, 60°, 90°. These come from special right triangles.
When do I use inverse trig?
When you know the ratio and need to find the angle. sin⁻¹(0.5) = 30°.
Is the unit circle tested?
Rarely directly. Knowing that sin²θ + cos²θ = 1 is more useful than memorizing the unit circle.
How many trig questions appear?
Usually 1-2. Master these ratios in our <a href='/math'>specialized Math category hub</a>.
What is the 'Pythagorean Identity' in trig?
sin²θ + cos²θ = 1. This is the most important identity for the 2026 Digital SAT.
How do I solve for θ in sin(θ) = 0.8?
Use the inverse sine function: θ = sin⁻¹(0.8). Ensure Desmos is in the correct mode (Degrees vs Radians).
What is the tangent of 90 degrees?
Undefined! Since tan = sin/cos and cos(90°) = 0, you cannot divide by zero vertically.
How does trigonometry relate to circles?
On a unit circle (radius=1), the coordinates of any point on the edge are exactly (cosθ, sinθ).
What is the 'Cofunction' identity?
The sine of an angle is the cosine of its complement: sin(x) = cos(90 - x) or sin(x) = cos(π/2 - x).
When should I use the Law of Sines?
Rarely required, but useful for non-right triangles if you know two angles and one side.
Does the SAT test SEC, CSC, or COT?
Extremely rarely. Focus on SIN, COS, and TAN. Remember SEC=1/COS, CSC=1/SIN, and COT=1/TAN if they appear.
How do I interpret trig in vertical shadow problems?
An object and its shadow create a right triangle. The angle of elevation is between the ground and the sun's rays.
What is 'Arc-tangent' used for?
Finding an angle when you know the ratio. Level up with <a href='/math/trigonometry/advanced'>Advanced Trigonometry sets</a>.