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SSC CPO 2019 PYQ — Question 141

SSC CPO Tier I - 12th December 2019 - Shift 2 • Quantitative Aptitude • Q141

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If Sinθ - Cosθ = 0, 0° < θ < 90°, then the value of Sin4θ + Cos4θ is :

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 1/2

Application

Here According to question:

Put θ = 45

So,

Sin45 - Cos45 = 0

⇒ 1/√2 - 1/√2 = 0

Hence,

Sin4θ + Cos4θ

= 1/4 + 1/4

= 2/4

= 1/2