trig functions

Front

What is the definition of sine (sin) in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine (cos) in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What does SOH-CAH-TOA stand for?

Back

SOH-CAH-TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = sin = opposite/hypotenuse, CAH = cos = adjacent/hypotenuse, TOA = tan = opposite/adjacent.

Front

In which type of triangle can SOH-CAH-TOA be used?

Back

SOH-CAH-TOA can only be used in right triangles.

Front

If sin(37) = x/14, what is the correct ratio?

Back

cos(37) = x/14.

Front

How do you find the missing angle in a right triangle if you know two sides?

Back

Use the inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹) to find the angle.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².

Front

If the opposite side is 10 and the adjacent side is 5, what is the tangent of the angle?

Back

tan(θ) = opposite/adjacent = 10/5 = 2.

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.