Setting up trig ratios

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = Opposite/Hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = Adjacent/Hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = Opposite/Adjacent.

Front

If sinZ = 5/13, what is the value of cosZ?

Back

Using the Pythagorean identity, cosZ = √(1 - sin²Z) = √(1 - (5/13)²) = 12/13.

Front

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

Back

For complementary angles, sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Front

How do you find the sine of an angle if you know the lengths of the opposite side and hypotenuse?

Back

Use the formula sin(θ) = Opposite/Hypotenuse.

Front

What is the formula to find the cosine of an angle if you know the lengths of the adjacent side and hypotenuse?

Back

Use the formula cos(θ) = Adjacent/Hypotenuse.

Front

What is the formula to find the tangent of an angle if you know the lengths of the opposite and adjacent sides?

Back

Use the formula tan(θ) = Opposite/Adjacent.

Front

If you are given the hypotenuse and an opposite side, which trig function should you use to find the sine?

Back

Use the sine function: sin(θ) = Opposite/Hypotenuse.

Front

What is the value of sin(37°) if the hypotenuse is 14 and the opposite side is x?

Back

sin(37°) = x/14, therefore x = 14 * sin(37°).