If cos Θ = - 4/7, what are the values of sin Θ and tan Θ?

Question

Mathematics

Kamren Hartman

5 May, 05:26

If cos Θ = - 4/7, what are the values of sin Θ and tan Θ?

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Elise Webb · Answer 1

given cos theta is equal to - 4 / 7 then we can conclude that theta is in the second and third quadrants. In this case, the other leg is equal to square root of (7^2 - 4^2) equal to square root of 33. In this case, sin theta can be equal to + - square root of 33 / 7 and tan theta is equal to + - square root of 33 / 4.