If $3\cos\theta - 4\sin\theta = 2\cos\theta + \sin\theta ,$ find $\tan\theta .$
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Trigonometrical Ratios question types
74 questions across 4 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.
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Sample Questions
Trigonometrical Ratios questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In the given figure, $\text{PQR}$ is a triangle, in which $\text{QS} \perp \text{PR}, \text{QS} = 3\ cm, \text{PS} = 4\ cm$ and $\text{QR} = 12\ cm,$ find the value of: $\cot^2P -\operatorname{cosec}^2P$
View full solution →In the given figure, ${PQR}$ is a triangle, in which $\text{QS} \perp \text{PR}, \text{QS} = 3\ cm, \text{PS} = 4\ cm$ and $\text{QR} = 12\ cm,$ find the value of $:\sin P$
View full solution →If $\tan = 0.75,$ find the other trigonometric ratios for $A.$
View full solution →If $\sin \theta=\frac{8}{17}$, find the other five trigonometric ratios.
View full solution →If $\cos B=\frac{1}{3}$ and $\angle C=90^{\circ}$, find $\sin A$, and $B$ and $\cot A$.
View full solution →If $5 \tan \theta=12$, find the value of $\frac{2 \sin \theta-3 \cos \theta}{4 \sin \theta-9 \cos \theta}$.
View full solution →If $5 \cos \theta=3$, find the value of $\frac{4 \cos \theta-\sin \theta}{2 \cos \theta+\sin \theta}$
View full solution →If $8 \tan\theta = 15$, find$(i) \sin\theta , (ii) \cot\theta , (iii) \sin^2\theta - \cot^2\theta$
View full solution →If $\sin A = 0.8,$ find the other trigonometric ratios for $A.$
View full solution →If $\sin A=\frac{3}{5}$, find $\cos A$ and $\tan A$.
View full solution →In $\triangle ABC, \angle B = 90^\circ .$ If $AB = 12$ units and $BC = 5$units, find: $\cot C$
View full solution →In $\triangle ABC, \angle B = 90^\circ .$ If $AB = 12$ units and $BC = 5$ units, find$: \cos C$
View full solution →If $\tan \theta=\frac{m}{n}$, show that $\frac{m \sin \theta-n \cos \theta}{m \sin \theta+n \cos \theta}=\frac{m^2-n^2}{m^2+n^2}$
View full solution →If $3 \tan \theta=4$, prove that $\frac{\sqrt{\sec \theta-\operatorname{cosec} \theta}}{\sqrt{\sec \theta-\operatorname{cosec} \theta}}=\frac{1}{\sqrt{7}}$.
View full solution →If $\sec A =\frac{17}{8}$, verify that $\frac{3-4 \sin ^2 A }{4 \cos ^2 A -3}=\frac{3-\tan ^2 A }{1-3 \tan ^2 A }$
View full solution →If $\sin \theta=\frac{3}{4}$, prove that $\sqrt{\frac{\operatorname{cosec}^2 \theta-\cot ^2 \theta}{\sec ^2 \theta-1}}=\frac{\sqrt{7}}{3}$.
View full solution →If $\sec A =\frac{5}{4}$, cerify that $\frac{3 \sin A-4 \sin ^3 A }{4 \cos ^3 A -3 \cos A }=\frac{3 \tan A -\tan ^3 A }{1-3 \tan ^2 A }$.
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