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ICSE Class 10th Mathematics Chapter 21 - Trignometrical Identities Important Questions with Answers

You should focus on solving ICSE Class 10th Mathematics Chapter 21: Trignometrical Identities important questions, especially to help you score high marks. By solving ICSE Class 10th Mathematics 21 questions, you will be solving exam-oriented questions only.

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Prepare thoroughly with the most important questions of ICSE Class 10th Mathematics Chapter 21 - Trignometrical Identities. You can first cover the ICSE Class 10th Mathematics syllabus to understand the key topics and then start solving the ICSE Class 10th Mathematics Chapter 21 - Trignometrical Identities Important Question to get a better understanding of your preparation level. Start practicing now.

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Question 1.

Prove the following identities:

`(sec A - 1)/(sec A + 1) = (1 - cos A)/(1 + cos A)`

Question 2.

Prove the following identities:

`(1 + sin A)/(1 - sin A) = (cosec A + 1)/(cosec A - 1)`

Question 3.

Prove the following identities:

`1/(tan A + cot A) = cos A sin A`

Question 4.

Prove the following identities:

`tan A - cot A = (1 - 2cos^2A)/(sin A cos A)`

Question 5.

Prove the following identities:

sin⁴A – cos⁴A = 2sin²A – 1

Question 6.

Prove the following identities:

(1 – tan A)² + (1 + tan A)² = 2 sec²A

Question 7.

Prove the following identities:

cosec⁴A – cosec² A = cot⁴ A + cot² A

Question 8.

Prove the following trigonometric identities.

sec A (1 ? sin A) (sec A + tan A) = 1

Question 9.

Prove the following identities:

cosec A(1 + cos A) (cosec A – cot A) = 1

Question 10.

Prove the following identities:

sec²A + cosec²A = sec²A . cosec²A

Question 1.

Prove the following identities:

`((1 + tan^2A)cotA)/(cosec^2A) = tan A`

Question 2.

Prove the following identities:

tan² A – sin² A = tan² A . sin² A

Question 3.

Prove the following identities:

cot² A – cos² A = cos² A . cot² A

Question 4.

Prove the following identities:

(cosec A + sin A) (cosec A – sin A) = cot² A + cos² A

Question 5.

Prove the following identities:

(sec A – cos A) (sec A + cos A) = sin² A + tan² A

Question 6.

Prove the following identities:

(cos A + sin A)² + (cos A – sin A)² = 2

Question 7.

Prove the following identities:

(cosec A – sin A) (sec A – cos A) (tan A + cot A) = 1

Question 8.

Prove the following identities:

`1/(secA + tanA) = secA - tanA`

Question 9.

Prove the following identities:

`cosecA + cotA = 1/(cosecA - cotA)`

Question 10.

Prove the following identities:

`(secA - tanA)/(secA + tanA) = 1 - 2secAtanA + 2tan^2A`

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