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Day 182: SSC CGL Quant

5 questions. Try each one first, then open its answer.

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 19 Jul 2023 S4 (same type asked 3 times) See all 3 of this type

    53
    If cos⁡x+sin⁡x=2cos⁡x\cos x + \sin x = \sqrt{2}\cos x, what is the value of (cos⁡x−sin⁡x)2+(cos⁡x+sin⁡x)2(\cos x - \sin x)^2 + (\cos x + \sin x)^2?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 18 Jul 2023 S3 (same type asked 3 times) See all 3 of this type

    68
    Find the value of the following expression. 12(sin⁡4θ+cos⁡4θ)+18(sin⁡6θ+cos⁡6θ)+78sin⁡2θcos⁡2θ12 (\sin^4 \theta + \cos^4 \theta) + 18 (\sin^6 \theta + \cos^6 \theta) + 78\sin^2 \theta \cos^2 \theta

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 20 Jul 2023 S1 (same type asked 3 times) See all 3 of this type

    59
    Solve the given expression. sec⁡2(90∘−θ)−cot⁡2θ2(sin⁡235∘+sin⁡255∘)\frac{\sec^2(90^\circ - \theta) - \cot^2\theta}{2(\sin^2 35^\circ + \sin^2 55^\circ)}

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 18 Jul 2023 S3 (same type asked 3 times) See all 3 of this type

    64
    Which of the following is a FALSE statement?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: 20 Jul 2023 S3 (same type asked 3 times) See all 3 of this type

    72
    If (x−1x)=22\left(x - \frac{1}{x}\right) = 2\sqrt{2}, and x>1x > 1, what is the value of (x6−1x6)\left(x^6 - \frac{1}{x^6}\right)?

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