First slide

Trigonometric Identities

Question

$a^{2} \cos^{2} \frac{2 π}{3} - 4 a^{2} \tan^{2} \frac{3 π}{4} + 2 a^{2} \sin^{2} \frac{2 π}{3} =$

Very Easy

A

$\frac{3 a^{2}}{4}$
B

$\frac{- 9 a^{2}}{4}$
C

0
D

$a^{2}$

Solution

$a^{2} {(\frac{- 1}{2})}^{2} - 4 a^{2} {(- 1)}^{2} + 2 a^{2} {(\frac{\sqrt{3}}{2})}^{2} = \frac{- 9 a^{2}}{4}$

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