KCET 2026 | Trigonometric Ratios & Identities Question 1 | Mathematics

If $\alpha$ and $\beta$ are acute angles such that $\alpha - \beta$ and $\alpha + \beta$ satisfy the equation $\tan^2\theta - 4\tan\theta + 1 = 0$, then $\alpha$ and $\beta$ are respectively,

$45^\circ, 30^\circ$

$30^\circ, 45^\circ$

$30^\circ, 60^\circ$

$60^\circ, 45^\circ$

KCET 2026

MCQ (Single Correct Answer)

-0

The maximum value of $\sin\left(x + \dfrac{\pi}{6}\right) + \cos\left(x + \dfrac{\pi}{6}\right)$ is attained at $x = $

$\dfrac{\pi}{2}$

$\dfrac{\pi}{4}$

$\dfrac{\pi}{6}$

$\dfrac{\pi}{12}$

KCET 2025

MCQ (Single Correct Answer)

-0

Which of the following is not correct?

$\cos 5 \pi=\cos 4 \pi$

$\sin 2 \pi=\sin (-2 \pi)$

$\sin 4 \pi=\sin 6 \pi$

$\tan 45^{\circ}=\tan \left(-315^{\circ}\right)$

KCET 2025

MCQ (Single Correct Answer)

-0

The minimum value of $1-\sin x$ is

-1

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