If sin⁴α+4cos⁴β+2=4√2 sinα cosβ... | Trigonometry

JEE MAIN 2019

12-01-2019 S2

Question

If $\sin ^4 \alpha+4 \cos ^4 \beta+2=4 \sqrt{2} \sin \alpha \cos \beta ; \alpha, \beta \in[0, \pi]$, then $\cos (\alpha+\beta)-\cos (\alpha-\beta)$ is equal to

Select the correct option:

$\sqrt{2}$

$-\sqrt{2}$

-1

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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