If tan x = 7/5 , then the value of (9 sin x - 42/5cos x)/(15 sin x + 21 cos x) is:

If tan x = 7/5 , then the value of (9 sin x - 42/5cos…

If $\tan x = \frac{7}{5}$ , then the value of $\frac{9 \sin x - \frac{42}{5}\cos x}{15 \sin x + 21 \cos x}$ is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 0.1.

sinx/cosx = 7/5

$\frac{9 \sin x - \frac{42}{5}\cos x}{15 \sin x + 21 \cos x}$

= (63 - 42)/(105 + 105)

= 21/210 = 0.1