Question

If sin theta = -2/3, which of the following are possible for the same value of theta?

A. sec theta = -3/2 and tan theta = 2/square root of 5

B. cos theta = square root of 5/3 and tan theta = 2/ square root of 5

C. cos theta = -square root of 5/3 and tan theta = 2/ square root of 5

D. sec theta = 3/square root of 5 and tan theta = -2/square root of 5

answer: c and d

Answer 1

The option that has the same value of theta is; D. sec theta = 3/square root of 5 and tan theta = -2/square root of 5

How to Calculate Trigonometric Functions?

We are given that;

sin θ = -²/₃

Thus, from trigonometric ratios we have;;

cos θ = -(√5)/3

Thus;

sec θ = -3/√5

tan θ = -2/√5

Thus, only option D is the correct answer.

Read more about Trigonometric ratios at; https://brainly.com/question/13276558

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