PYQ Vault
EbooksTutor

Solve a cos theta + b sin theta = c

This type of question, asked 3 times: 29 Jan 2024, 5 Apr 2024, 6 Apr 2026 S1. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    29 Jan 2024

    71
    If α,−π2<α<π2\alpha, -\frac{\pi}{2}< \alpha <\frac{\pi}{2} is the solution of 4cos⁡θ+5sin⁡θ=14\cos\theta + 5\sin\theta = 1, then the value of tan⁡α\tan\alpha is

    Tap an option to check your answer.

  2. Question 2

    5 Apr 2024

    75
    Suppose θ∈[0,π4]\theta\in\left\lbrack 0,\frac{\pi}{4} \right\rbrack is a solution of 4cos⁡θ−3sin⁡θ=14\cos\theta- 3\sin\theta= 1. Then cos⁡θ\cos\theta is equal to :

    Tap an option to check your answer.

  3. Question 3

    6 Apr 2026 S1

    64
    Let S={θ∈(−2π,2π):cos⁡θ+1=3sin⁡θ}S = \{\theta\in ( - 2\pi,2\pi):\cos\theta+ 1 =\sqrt{3}\sin\theta\}. Then ∑θ∈Sθ\sum_{\theta\in S} \theta is equal to:

    Tap an option to check your answer.