Question

Consider this equation

COS (θ)= -3/ -10


if θ is an angle in quadrant II, what is the value of tan(θ)?


A. -√91/10

B. √91/10

C. √91/3

D. -√91/3

Answer 1

Option D

Explanation:

As per your question, cos θ = 3/10

tanθ = √(sec²θ - 1) = √((1/cos²θ) - 1)

Put the value of cos θ, √(1/(9/100) - 1 = √(100/9 - 1) = ±√91/9 = -√91/3 (tan θ is negative in the third quadrant.)

So, option D is the correct answer.