Find the tangent of A if the cosine of A is -√3 / 2

univerkov | August 9, 2021 | education

1) Find the sine of this angle using the basic trigonometric identity: sin (A) = √ (1 – cos2 (A)) = √ (1 – (-√3 / 2) 2) = 1/2.
2) The tangent is equal to the ratio of sine to cosine. Substitute the sine and cosine values and get: tg (A) = sin (A) / cos (A) = (1/2) / (- √3 / 2) = -√3.
ANSWER: -√3.

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