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

Daniel King

in Mathematics

1 answer

1 answer

Curtis Rhodes on December 11, 2018

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

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