MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 1

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Express the trigonometric ratios $\sin A, s e c A$ and $\tan A$ in terms of $\cot A$ .

Important Questions on Introduction to Trigonometry

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 2

Write all the other trigonometric ratios of

∠ A

in terms of

\sec A

.

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 3

Evaluate:

$\frac{\sin^{2} 63 ° + \sin^{2} 27 °}{\cos^{2} 17 ° + \cos^{2} 73 °}$

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 3

Evaluate:

\sin 25 ° \cos 65 ° + \cos 25 ° \sin 65 °

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 4

9 \sec^{2} A - 9 \tan^{2} A =

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 4

(1 + \tan θ + \sec θ) (1 + \cot θ - cosec θ) =

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 4

(\sec A + \tan A) (1 - \sin A) =

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 4

\frac{1 + \tan^{2} A}{1 + \cot^{2} A} =

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MATHEMATICS Textbook for Class X>Chapter 8 - Introduction to Trigonometry>Exercise 8.4>Q 5

Prove the following identity, where the angles involved are acute angles for which the expressions is defined.

{(cosec θ - \cot θ)}^{2} = \frac{1 - \cos θ}{1 + \cos θ}