Trigonometric Functions - Rajasthan Board (RBSE) STD 11 Science MATHS Questions

Q 1M.C.Q (1 Marks)1 Mark

If $\text{cosec x}+\cot \text{x}=\frac{11}{2},$ then $\tan\text{x}$ is equal to:

$\frac{21}{22}$
$\frac{15}{16}$
$\frac{44}{117}$
$\frac{117}{44}$

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Q 2M.C.Q (1 Marks)1 Mark

If $\text{cosec x}+\cot\text{x}=\frac{11}{2},$ then $\tan\text{x}=$

$\frac{21}{22}$
$\frac{15}{16}$
$\frac{44}{117}$
$\frac{117}{43}$

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Q 3M.C.Q (1 Marks)1 Mark

The value of $\sin^25^\circ+\sin^210^\circ+\sin^215^\circ+\ ...\ +\sin^285^\circ+\sin^290^\circ$ is:

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Q 4M.C.Q (1 Marks)1 Mark

The value of $\cos1^\circ\cos2^\circ\cos3^\circ\dots\ \cos179^\circ$ is:

$\frac{1}{\sqrt{2}}$
0
1
-1

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Q 5M.C.Q (1 Marks)1 Mark

$\sec^2\text{x}=\frac{4\text{xy}}{(\text{x}+\text{y})^2}$ is true if and only if

$\text{x+y}\neq0$
$\text{x=y, x}\neq0$
$\text{x=y}$
$\text{x}\neq0,\text{y}\neq0$

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Q 61 Marks Question1 Mark

If $\text{x}=\sin^{14}\text{x}+\cos^{20}\text{x},$ then write the smallest interval in which the value of x lie.

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Q 71 Marks Question1 Mark

If $\sin^2\text{x}+\sin^2\text{ x}=1,$ then write the value of $\cos^8\text{x}+2\cos^6\text{x}+\cos^4\text{ x}.$

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Q 81 Marks Question1 Mark

If $\tan\text{A}+\cot\text{A}=4,$ then write the value of $\tan^4\text{A}+\cot^4\text{A}.$

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Q 91 Marks Question1 Mark

Write the value of $2(\sin^6\text{x}+\cos^6\text{x})-3(\sin^4\text{x}+\cos^4\text{x})+1.$

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Q 101 Marks Question1 Mark

Write the maximum values of $\sin(\cos\text{x}).$

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Q 112 Marks Questions2 Marks

Find the value of the following trigonomentric ratio:
$\sin\Big(\frac{17\pi}{6}\Big)$

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Q 122 Marks Questions2 Marks

Find the value of the following trigonomentric ratio:
$\tan\Big(\frac{7\pi}{4}\Big)$

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Q 132 Marks Questions2 Marks

If A, B, C, D be the angles of a cyclic quadrilateral, take in order, proved that:
$\cos(180^\circ-\text{A})+\cos(180^\circ+\text{B})+\cos(180^\circ+\text{C})-\sin(90^\circ+\text{D})=0$

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Q 142 Marks Questions2 Marks

Prove that:
$\sin\frac{10\pi}{3}\cos\frac{13\pi}{6}+\cos\frac{8\pi}{3}\sin\frac{5\pi}{6}=-1$

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Q 152 Marks Questions2 Marks

Find the value of the following trigonomentric ratio:
$\cos\Big(-\frac{25\pi}{4}\Big)$

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Q 163 Marks Question3 Marks

Prove that:
$\sin\frac{13\pi}{3}\sin\frac{2\pi}{3}+\cos\frac{4\pi}{3}\sin\frac{13\pi}{6}=\frac{1}{2}$

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Q 173 Marks Question3 Marks

Prove that:
$\tan4\pi-\cos\Big(\frac{3\pi}{2}\Big)-\sin\Big(\frac{5\pi}{6}\Big)\cos\Big(\frac{2\pi}{3}\Big)=\frac{1}{4}$

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Q 183 Marks Question3 Marks

If $\cos\text{x}=-\frac{3}{5}$ and $\pi<\text{x}<\frac{3\pi}{2},$ Find the value of other of five trigonomentoric function and hence evaluate $\frac{\text{cosec x}+\cot \text{x}}{\sec\text{x}-\tan\text{x}}.$

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Q 193 Marks Question3 Marks

Find the values of the other five trigonometric functions in the following:
$\sin\text{x}=\frac{3}{5},$ x in quadrant I

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Q 203 Marks Question3 Marks

Prove that:
$3\sin\frac{\pi}{6}\sec\frac{\pi}{3}-4\sin\frac{5\pi}{6}\cot\frac{\pi}{4}=1$

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Q 215 Marks Questions5 Marks

Prove that $\Bigg|\sqrt{\frac{1-\sin\text{x}}{1+\sin\text{x}}}+\sqrt{\frac{1+\sin\text{x}}{1-\sin\text{x}}}\Bigg|$ $=-\frac{2}{\cos\text{x}},$ where $\frac{\pi}{2}<\text{x}<\pi$

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Q 225 Marks Questions5 Marks

Prove the following identities:
$\Big(\frac{1}{\sec^2\text{x}-\cos^\text{x}}+\frac{1}{\text{Cosec}^2\text{x}-\sin^2\text{x}}\Big)\sin^2\text{x}\cos^2\text{x}=\frac{1-\sin^2\text{x}\cos^2\text{x}}{2+\sin^2\text{x}\cos^2\text{x}}$

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Q 235 Marks Questions5 Marks

If $\cos\text{x}-\sin\text{x}=\text{a}^3, \sec\text{x}-\cos\text{x}=\text{b}^3,$ than proved that a²b² (a² + b²) = 1.

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Q 245 Marks Questions5 Marks

Prove the following identities:
$\frac{\cos\text{x}}{1-\sin\text{x}}=\frac{1+\cos\text{x}+\sin\text{x}}{1+\cos\text{x}-\sin\text{x}}$

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Q 255 Marks Questions5 Marks

If $\text{a}=\frac{2\sin\text{x}}{1+\cos\text{x}+\sin\text{x}},$ then proved that $\frac{1-\cos\text{x}+\sin\text{x}}{1+\sin\text{x}}$ is also equal to a.

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Trigonometric Functions question types

Trigonometric Functions questions

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Trigonometric Functions MATHS - Trigonometric Functions

Trigonometric Functions question types

Trigonometric Functions questions

Generate a Trigonometric Functions paper free