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Question

For any acute angle θ, sin²θ + cos²θ = 1. Then the value of cos²θ + cos⁴θ is:

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

1

cos²θ + cos⁴θ = cos²θ(1 + cos²θ).
. Hence, the answer is 1

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Similar Questions

  1. If A is an acute angle and tanA + cotA = 2, find the value of 7tan⁸A – 6cot⁸A + 8sec²A.

  2. If p = sinA / (1 + cosA), then sinA / (1 - cosA) is equal to:

  3. In a ΔABC, right-angled at B if tanC = √3, then find (sin²C + cos²C) / (1 + cot²C).

  4. If 8cotθ = 7, then the value of (1 + sinθ) / cosθ) is:

  5. If 2 Cot x = 5, then what is (2 Cos x - Sin x) / (2 Cos x + Sin x) equal to?

  6. Evaluate the given expression. \[\frac{5}{1+\cot^2\theta} + \frac{3}{1+\tan^2\theta} + 2\cos^2\theta\]

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Important Questions from Trigonometry

  1. If A is an acute angle and tanA + cotA = 2, find the value of 7tan⁸A – 6cot⁸A + 8sec²A.

  2. If p = sinA / (1 + cosA), then sinA / (1 - cosA) is equal to:

  3. In a ΔABC, right-angled at B if tanC = √3, then find (sin²C + cos²C) / (1 + cot²C).

  4. If 8cotθ = 7, then the value of (1 + sinθ) / cosθ) is:

  5. If 2 Cot x = 5, then what is (2 Cos x - Sin x) / (2 Cos x + Sin x) equal to?

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