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  4. 4 a2 sin2 ( (3π/4) ) - 3 [a tan 225° ]2 + [ 2a cos 315° ]2

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Q. $4 a^2 \, \sin^2 \left( \frac{3\pi}{4} \right) - 3 [a\, \tan \,225^\circ ]^2 + [ 2a \, \cos \, 315^\circ ]^2$

Trigonometric Functions

Solution:

Given $= 4a^2 \left( \frac{1}{\sqrt{2}}\right)^2 - 3 [ a \times1 ]^2 + \left[ 2ax \frac{1}{\sqrt{2}} \right]^2$
= $2a^2 - 3a^2 + 2a^2$
= $a^2$