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Trigonometric Ratios for Sum of Two Angles

Find m if the...

Question

Find m if the following equation holds true $sin 2 x = \frac{m tan x}{1 + {tan}^{2} x}$

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Solution

It is given that,
$sin 2 x = \frac{m tan x}{1 + {tan}^{2} x}$

We know that,
$sin 2 x = \frac{2 tan x}{1 + {tan}^{2} x}$

So, $m = 2$

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Trigonometric Ratios for Sum of Two Angles

Standard XII Mathematics

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