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Trigonometry - II

MHT-CET Maths. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 4 times: 15 May 2023 S1, 9 May 2024 S1, 12 May 2024 S2, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 4 of this type

    54
    The value of cos⁡(π5)\cos\left(\dfrac{\pi}{5}\right) is ...

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  2. Question 2

    This type asked 3 times: 11 Apr 2026 S2, 18 Apr 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 3 of this type

    52
    In ΔABC\Delta ABC, ∠C=2π3\angle C = \dfrac{2\pi}{3}, then the value of cos⁡2A+cos⁡2B−cos⁡Acos⁡B\cos^2 A + \cos^2 B - \cos A \cos B is

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  3. Question 3

    Asked 2 times: 3 May 2023 S2*, 14 May 2024 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    144
    If sin⁡(θ−α)\sin(\theta-\alpha), sin⁡θ\sin\theta and sin⁡(θ+α)\sin(\theta+\alpha) are in H.P., then the value of cos⁡2θ\cos2\theta is

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  4. Question 4

    Asked 2 times: 9 May 2024 S1, 12 May 2024 S2 See all 2 times it was asked

    110
    cos⁡248°−sin⁡212°=\cos^2 48° - \sin^2 12° = ……. if sin⁡18°=5−14\sin 18° = \frac{\sqrt{5}-1}{4}

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  5. Question 5

    Asked 2 times: 10 May 2024 S1, 11 May 2024 S1 See all 2 times it was asked

    119
    The value of tan⁡π8\tan\frac{\pi}{8} is

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  6. Question 6

    Asked 2 times: May 2021 S1*, 3 May 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    136
    If tan⁡x=34\tan x=\frac{3}{4} and π<x<3π2\pi<x<\frac{3\pi}{2}, then cos⁡x2=\cos\frac{x}{2}=

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  7. Question 7

    This type asked 2 times: 15 Apr 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 2 of this type

    52
    The value of the expression cos⁡(π24)cos⁡(π12)cos⁡(π6)cos⁡(π3)\cos\left(\dfrac{\pi}{24}\right)\cos\left(\dfrac{\pi}{12}\right)\cos\left(\dfrac{\pi}{6}\right)\cos\left(\dfrac{\pi}{3}\right) is:

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  8. Question 8

    This type asked 2 times: 18 Apr 2026 S2, 12 May 2026 S2. This one: 12 May 2026 S2 See all 2 of this type

    52
    If sin⁡4θ+cos⁡4θ=58,0<θ<π2\sin^4\theta + \cos^4\theta = \dfrac{5}{8}, 0 < \theta < \dfrac{\pi}{2}, then sin⁡2θ=…\sin 2\theta = \ldots

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  9. Question 9

    This type asked 2 times: 15 May 2023 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 2 of this type

    54
    If x+y=π4x + y = \dfrac{\pi}{4}, then (1+tan⁡x)(1+tan⁡y)=(1 + \tan x)(1 + \tan y) =

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  10. Question 10

    This type asked 2 times: 13 Apr 2026 S1, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 2 of this type

    55
    The value of cos⁡15∘−sin⁡15∘\cos 15^\circ - \sin 15^\circ is ......

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