If tan x-34- 3-2-x-2- then find cos2x

tan x= 34 fourth Qua 3π2 lt;x lt;2π cos 2x=1 2cos^2x=1 2(45)^2 cos 2x=1 2(1625)=25 3225= 725 cos 2x= 725 ...

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Sign of Trigonometric Ratios in Different Quadrants

If tan x=-3...

Question

If $tan x = - \frac{3}{4}, \frac{3 π}{2} < x < 2 π$ , then find
$cos 2 x$

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Solution

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t a n x = - \frac{3}{4}, \frac{3 π}{2} < x < 2 π

sin 2 x

tan x = - \frac{3}{4}, \frac{3 π}{2} < x < 2 π, t h e n f i n d (i) sin 2 x (i i) cos 2 x (i i i) tan 2 x

f (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} cos x & e^{x^{2}} & 2 x {cos}^{2} \frac{x}{2} x^{2} & sec x & sin x + x^{3} 1 & 2 & x + tan x \end{matrix} ∣ ∣ ∣ ∣ ∣

π / 2 \int - π / 2 (x^{2} + 1) [f (x) + f^{''} (x)] d x

{c o s}^{2} x + {c o s}^{2} (x + \frac{2 π}{3}) + {c o s}^{2} (x - \frac{2 π}{3}) = \frac{3}{2}

tan x + tan (x + \frac{π}{3}) + tan (x + \frac{2 π}{3}) = 3

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