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The value of 4(si $n^{4}$ 60° + co $s^{4}$ 30°) − 3(ta $n^{2}$ 60° − ta $n^{2}$ 45°) is:

Competition practiceTrigonometry

A3/2
B9/2
C−1/2
D−3/2

Step-by-Step Solution

si

n^{4}

60° = co

s^{4}

30° = 9/16, so the first part is

4 \times 18/16 = 9/2

. The second part is

3 (3 - 1) = 6

, giving 9/2 − 6 = −3/2.

Answer: D) −3/2

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