If for x ∈ (0, π/2), log10... |JEE Main 2021 | Trigonometric

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JEE MAIN 2021

16-03-2021

Question

If for $x \in\left(0, \frac{\pi}{2}\right), \log _{10} \sin x+\log _{10} \cos x=-1$ and $\log _{10}(\sin x+\cos x)=\frac{1}{2}\left(\log _{10} n-1\right), n>0$, then the value of $n$ is equal to :

Select the correct option:

A

20

B

12

C

9

D

16

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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