Trigonometry Review

Front

What is the definition of cosine 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 cosine of angle T if cos T = 5/13?

Back

The cosine of angle T is 5/13.

Front

How do you find the missing angle in a right triangle?

Back

Use the inverse trigonometric functions or the fact that the sum of angles in a triangle is 180 degrees.

Front

What is the value of x if cos x = 12/13?

Back

x = 22.6° (approximately) when rounded to the nearest tenth.

Front

What is the sine of an angle 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 tangent of an angle 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

If sin A = 3/5, what is cos A?

Back

Using the Pythagorean identity, cos A = 4/5.

Front

What is the Pythagorean identity?

Back

The Pythagorean identity states that sin²(θ) + cos²(θ) = 1.

Front

How do you convert degrees to radians?

Back

Multiply the degree measure by π/180.

Front

What is the value of x if sin x = 0.5?

Back

x = 30° or 150° (in the range of 0° to 360°).