If tan x = \(2\frac{2}{5}\), find the value of sin x; 0 \(\leq\) x \(\leq\)

MATHEMATICS

WAEC 1996

If tan x = \(2\frac{2}{5}\), find the value of sin x; 0 \(\leq\) x \(\leq\) 90^o

A. 5/13
B. 5/12
C. 144/169
D. 12/13

Correct Answer: D. 12/13

Explanation

Tan x = 2²/₅ =¹²/₅

sin x =¹²/₁₃

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