Find tg A if cos A = 0.6.

We apply the basic trigonometric identity and determine the sine of angle A.

Cos2A + Sin2A = 1.

Sin2A = 1 – Cos2a = 1 – 0.36 = 0.64.

SinA = 0.8.

Determine the tangent of angle A.

The tangent of an angle is the ratio of the sine of this angle to its cosine.

tgA = SinA / CosA = 0.8 / 0.6 = 8/6 = 4/3 = 1 (1/3).

Answer: The tangent of angle A is 1 (1/3).



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