Question

(sec²0-1) (cosec² 0-1​

Answer 1

Answer:

sec squared theta minus 1 is equal to tan squared theta and cos squared theta minus 1 is equal to cos square theta and your answer is Tan squared theta into cos squared theta

Answer 2

We will prove this by using identities.

We know that,

sec²A - tan²A = 1

sec²A - 1 = tan²A

Also, cosec²A - cot²A = 1

cosec²A - 1 = cot²A

And tanA * cotA = 1

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Coming back to your question,

L. H. S

= (sec² θ - 1) ( cosec²θ - 1 )

= tan² θ * cot² θ

= ( tan θ * cot θ ) ²

= 1²

= 1

= R. H. S

Hence, (sec² θ - 1) ( cosec²θ- 1 ) = 1

In this type of questions, we need to decide choose identity helps us. Trigonometry is simple and you can do it by understanding things well. This question will seem confusing if you write different identities .We could also have proved it by other means , But I proved it this way as it is of Trigonometric identities chapter.

\therefore We proved (sec² θ - 1) (cosec² θ -1 ) = 1

Brainly User

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