Trigonometry Core Concepts 2

Question 1

What is the reciprocal of the sine function?

Accepted Answer

Cosecant

Answer

Cosecant (csc) is defined as 1/sin(θ), making it the reciprocal of sine.

Question 2

In a right triangle, if the opposite side is 5 and the hypotenuse is 13, what is sin(θ)?

Accepted Answer

5/13

Answer

Sine equals opposite over hypotenuse, so sin(θ) = 5/13.

Question 3

What is the period of the function f(x) = cos(x)?

Accepted Answer

2π

Answer

The cosine function completes one full cycle every 2π radians.

Question 4

Which quadrant contains an angle where sin > 0 and cos < 0?

Accepted Answer

Quadrant II

Answer

In Quadrant II, the y-coordinate (sine) is positive and the x-coordinate (cosine) is negative.

Question 5

What is tan(45°)?

Accepted Answer

1

Answer

At 45°, sine and cosine are equal (both √2/2), so their ratio is 1.

Trigonometry Practice Test