PYQ Vault
EbooksTutor

a sin^4 x + b cos^4 x = 6 (a + b = 25): value of an expression in sec^6 x and cosec^6 x

The same question, asked 2 times: 2021 Paper 10*, 4 Apr 2025. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 10

    78
    If 15sin⁡4α+10cos⁡4α=615\sin^{4}\alpha+ 10\cos^{4}\alpha= 6, for some α∈R\alpha\in R, then the value of 27sec⁡6α+8csc⁡6α27\sec^{6}\alpha+ 8\csc^{6}\alpha is equal to :

    Tap an option to check your answer.

  2. Question 2

    4 Apr 2025

    70
    If 10sin⁡4θ+15cos⁡4θ=610\sin^{4}\theta+ 15\cos^{4}\theta= 6, then the value of 27csc⁡6θ+8sec⁡6θ16sec⁡8θ\frac{27\csc^{6}\theta+ 8\sec^{6}\theta}{16\sec^{8}\theta} is:

    Tap an option to check your answer.