Question

The angle θ is located in Quadrant II, and cos(θ) = 22/29 . What is the value of sin(θ)?

a) 7/29
b) 9/29
c) 22/29
d) 29/22

Answer 1

The value of sin(θ) when cos(θ) = 22/29 in Quadrant II is 7/29.

Step-by-step explanation:

The angle θ is located in Quadrant II, which is the upper left region of the coordinate plane. In this quadrant, the cosine function is positive and the sine function is positive. Given that cos(θ) = 22/29, we can use the Pythagorean identity to find sin(θ).

Using the Pythagorean identity sin^2(θ) = 1 - cos^2(θ), we can substitute the value of cos(θ) to get sin^2(θ) = 1 - (22/29)^2. Solving this equation, we find sin(θ) = 7/29.

Therefore, the value of sin(θ) is 7/29 (option a).