Trigonometric Ratios And Identities - Trigonometry - Mathematics Previous Year Questions

1

2017 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2017

The value of $\cos ^2 45^{\circ}-\sin ^2 15^{\circ}$ is

A

$\frac{\sqrt{2}+1}{2 \sqrt{2}}$

B

$\frac{\sqrt{3}-1}{2 \sqrt{2}}$

C

$\frac{\sqrt{3}}{2}$

D

$\frac{\sqrt{3}}{4}$

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2

2019 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2019

$$\sqrt{3} \operatorname{cosec} 20^{\circ}-\sec 20^{\circ}=$$

A

4

B

2

C

1

D

3

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3

2020 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2020

The value of \(\sin ^2 51^{\circ}+\sin ^2 39^{\circ}\) is

A

1

B

0

C

\(\sin 12^{\circ}\)

D

\(\cos 12^{\circ}\)

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4

2020 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2020

If \(\tan A+\cot A=2\), then the value of \(\tan ^4 A+\cot ^4 A=\)

A

2

B

1

C

4

D

5

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5

2021 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2021

The value of \(\cos 1200^{\circ}+\tan 1485^{\circ}\) is

A

\(\frac{1}{2}\)

B

\(\frac{3}{2}\)

C

\(-\frac{3}{2}\)

D

\(-\frac{1}{2}\)

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6

2021 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2021

The value of \(\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \tan 89^{\circ}\) is

A

0

B

1

C

\(\frac{1}{2}\)

D

\(-1\)

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7

2022 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2022

The degree measure of \(\frac{\pi}{32}\) is equal to

A

\(5^{\circ} 30^{\prime} 20^{\prime \prime}\)

B

\(5^{\circ} 37^{\prime} 20^{\prime \prime}\)

C

\(5^{\circ} 37^{\prime} 30^{\prime \prime}\)

D

\(4^{\circ} 30^{\prime} 30^{\prime \prime}\)

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8

2022 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2022

$$\sqrt{2+\sqrt{2+\sqrt{2+2 \cos 8 \theta}}}=$$

A

\(\sin 2 \theta\)

B

\(2 \cos \theta\)

C

\(2 \sin \theta\)

D

\(2 \cos \frac{\theta}{2}\)

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9

2022 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2022

The value of \(\sin \frac{5 \pi}{12} \sin \frac{\pi}{12}\) is

A

0

B

1

C

\(\frac{1}{2}\)

D

\(\frac{1}{4}\)

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10

2025 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2025

Which of the following is not correct?

A

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

B

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

C

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

D

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

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11

2025 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2025

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

A

0

B

-1

C

1

D

2

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12

2026 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2026

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,

A

$45^\circ, 30^\circ$

B

$30^\circ, 45^\circ$

C

$30^\circ, 60^\circ$

D

$60^\circ, 45^\circ$

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13

2026 · Mathematics · Trigonometry · Trigonometric Ratios And Identities

KCET 2026

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

A

$\dfrac{\pi}{2}$

B

$\dfrac{\pi}{4}$

C

$\dfrac{\pi}{6}$

D

$\dfrac{\pi}{12}$

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