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Day 95: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 1 2024 (same type asked 5 times) See all 5 of this type

    51
    If tan⁡(3A)=cot⁡(A−22∘)\tan(3A) = \cot(A - 22^\circ), where 3A is an acute angle, then what is the value of A ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 1 2018 (same type asked 5 times) See all 5 of this type

    61
    If cos⁡x+cos⁡2x=1\cos x + \cos^2 x = 1, then what is sin⁡2x+sin⁡4x\sin^2 x + \sin^4 x equal to ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 1 2024 (same type asked 5 times) See all 5 of this type

    12
    What is the difference between the greatest value and the least value of cos⁡2θ+3sin⁡2θ+2\cos^2 \theta + 3 \sin^2 \theta + 2 ?

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: CDS 2 2025 (same type asked 5 times) See all 5 of this type

    26
    If x−1x=2x-\frac{1}{x}=2, x>0x>0; then what is x2−1x2x^2-\frac{1}{x^2} equal to?

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  5. Question 5

    Circles. Asked once: CDS 1 2020 (same type asked 5 times) See all 5 of this type

    71
    Two circles touch internally. The sum of their areas is 136π136\pi cm2^2 and distance between their centres is 4 cm. What are the radii of the circles ?

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