Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 40

HARD

RPF Constable CBT 1

IMPORTANT

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A vertical post $15$ ft high is broken at a certain height and its upper part, not completely separated the ground at an angle of $30^{°}$ . Find the height at which the post is broken.

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Important Questions on Basic Trigonometry

MEDIUM

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 1

If

\tan 330^{o} = x,

then the value of

x

is:

HARD

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 2

The value of the following is:

${(\frac{\sin 47^{o}}{\cos 43^{o}})}^{2} + {(\frac{\cos 43^{o}}{\cos 47^{o}})}^{2} - 4 \cos^{2} 45^{o}$

EASY

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 3

If

\tan (A + B) = \sqrt{3}

and

\tan (A - B) = \frac{1}{\sqrt{3}}

,

(∠ A + ∠ B) < 90 °, A \geq B,

then angle

∠ A

is:

HARD

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 4

The value of

\frac{\sin θ - 2 \sin^{3} θ}{2 \cos^{3} θ - \cos θ}

is equal to:

HARD

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 5

If

r \sin θ = \frac{7}{2}

and

r \cos θ = \frac{7 \sqrt{3}}{2}

, then the value of

r

is:

MEDIUM

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 6

If $θ + ϕ = \frac{π}{2}$ and $\sin θ = \frac{1}{2}$ , then the value of $\sin ϕ$ is:

MEDIUM

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 7

If

θ

is a positive acute angle and

4 \cos^{2} θ - 4 \cos θ + 1 = 0

, then the value of

\tan (θ - 15^{o})

is equal to:

HARD

RPF Constable CBT 1

IMPORTANT

Study Guide For RPF/RPSF Constable>Chapter 23 - Basic Trigonometry>Most Important Questions>Q 8

The value of

\frac{\sin 25^{o} \cos 65^{o} + \cos 25^{o} \sin 55^{o}}{\tan^{2} 70^{o} - \cos e c^{2} 20^{o}}

is: