Trigonometric Ratios

Front

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

Back

sin(θ) = Opposite side / Hypotenuse.

Front

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

Back

cos(θ) = Adjacent side / Hypotenuse.

Front

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

Back

tan(θ) = Opposite side / Adjacent side.

Front

In a right triangle, which side is opposite to the right angle?

Back

The hypotenuse.

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ).

Front

If sin(θ) = 3/5, what is cos(θ)?

Back

cos(θ) = 4/5, using the Pythagorean identity.

Front

What is the formula to find the missing angle in a right triangle using sine?

Back

θ = sin^(-1)(Opposite side / Hypotenuse).

Front

What is the formula to find the missing angle in a right triangle using cosine?

Back

θ = cos^(-1)(Adjacent side / Hypotenuse).

Front

What is the formula to find the missing angle in a right triangle using tangent?

Back

θ = tan^(-1)(Opposite side / Adjacent side).

Front

In the triangle ABC, if angle A = 30° and side a = 10, what is the length of side b if b is opposite angle B?

Back

b = 10 * sin(B) (requires angle B to solve).