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CBSE - Class 10 Mathematics Introduction to Trigonometry Worksheet

EXERCISE 8.1

In $\triangle PQR$, right-angled at $Q$, $PR + QR = 25$ cm and $PQ = 5$ cm. Determine the values of $\sin P, \cos P$ and $\tan P$.

In $\triangle ABC$, right-angled at $B$, $AB = 24$ cm, $BC = 7$ cm. Determine : (i) $\sin A, \cos A$

State whether the following are true or false. Justify your answer. (iii) $\cos A$ is the abbreviation used for the cosecant of angle $A$.

In Fig. 8.13, find $\tan P – \cot R$.

Chapter 8 – Introduction to Trigonometry Questions and Answers ...

In $\triangle ABC$, right-angled at $B$, $AB = 24$ cm, $BC = 7$ cm. Determine : (ii) $\sin C, \cos C$

Given $\sec \theta = \frac{13}{12}$, calculate all other trigonometric ratios.

Given $15 \cot A = 8$, find $\sin A$ and $\sec A$.

If $3 \cot A = 4$, check whether $\frac{1 - \tan^2 A}{1 + \tan^2 A} = \cos^2 A – \sin^2 A$ or not.

In triangle ABC, right-angled at B, if $\tan A = \frac{1}{\sqrt{3}}$, find the value of: (i) $\sin A \cos C + \cos A \sin C$

10.

If $\angle A$ and $\angle B$ are acute angles such that $\cos A = \cos B$, then show that $\angle A = \angle B$.

11.

If $\cot \theta = \frac{7}{8}$, evaluate : (ii) $\cot^2 \theta$

12.

State whether the following are true or false. Justify your answer. (ii) $\sec A = \frac{12}{5}$ for some value of angle $A$.

13.

If $\cot \theta = \frac{7}{8}$, evaluate : (i) $\frac{(1 + \sin \theta) (1 - \sin \theta)}{(1 + \cos \theta) (1 - \cos \theta)}$

14.

If $\sin A = \frac{3}{4}$, calculate $\cos A$ and $\tan A$.

15.

State whether the following are true or false. Justify your answer. (v) $\sin \theta = \frac{4}{3}$ for some angle $\theta$.

16.

In triangle ABC, right-angled at B, if $\tan A = \frac{1}{\sqrt{3}}$, find the value of: (ii) $\cos A \cos C – \sin A \sin C$

17.

State whether the following are true or false. Justify your answer. (i) The value of $\tan A$ is always less than 1.

18.

State whether the following are true or false. Justify your answer. (iv) $\cot A$ is the product of cot and $A$.

Worksheet Answers

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