MHT CET 2026 20th April Morning Shift | Trigonometric Ratios & Identities Question 2 | Mathematics

If $\sin (\alpha+\beta)=1, \sin (\alpha-\beta)=\frac{1}{2}, \alpha, \beta \in\left[0, \frac{\pi}{2}\right]$, then $\tan (\alpha+2 \beta) \cdot \tan (2 \alpha+\beta)=$

-1

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

If $0 \leq x \leq \pi$ and $81^{\sin ^2 x}+81^{\cos ^2 x}=30$ Then $x$ takes the value

$\frac{\pi}{6}, \frac{\pi}{3}$

$\frac{\pi}{3}, \frac{\pi}{4}$

$\frac{5 \pi}{6}, \frac{\pi}{2}$

$\frac{2 \pi}{3}, \frac{\pi}{4}$

MHT CET 2025 25th April Evening Shift

MCQ (Single Correct Answer)

-0

$$ \cos ^4 \frac{\pi}{8}+\cos ^4 \frac{3 \pi}{8}+\cos ^4 \frac{5 \pi}{8}+\cos ^4 \frac{7 \pi}{8}= $$

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{1}{4}$

$\frac{3}{4}$

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