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SSC CGL 2016 PYQ — Question 10

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q10

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The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to:

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. -4

8(sin6θ + cos6θ) - 12(sin4θ + cos4θ)

Put θ = 0°

We get,

= 8(sin60 + cos60) - 12(sin40 + cos40)

= 8(0 + 1) - 12(0 + 1)

= -4