2 sinx = √(3) sinx = √(3)2 sinx = sin60 x = 60^∘ Now, 3 cos x 4 cos^3 x = 3 cos 60 4 cos^360 = 3 (12) 4 (12)^3 ...

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Integration by Parts

3 cos x - 4 c...

Question

$3 c o s x - 4 c o s^{3} x$ .

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Solution

$2 s i n x = \sqrt{3}$
$s i n x = \frac{\sqrt{3}}{2}$
$s i n x = s i n 60$
$x = 60^{\circ}$
Now, $3 c o s x - 4 c o s^{3} x$
= $3 c o s 60 - 4 c o s^{3} 60$
= $3 (\frac{1}{2}) - 4 (\frac{1}{2})^{3}$
= $\frac{3}{2} - \frac{1}{2}$
= $1$

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