Math, asked by padolesanika, 8 months ago

Prove that
tan²A+ cot²A+ 2 = sec²A+ cosec²A

Answers

Answered by Atharva0339

2

Step-by-step explanation:

sec²A=1+tan²A

Cosec²A=1+cot²A

tanA.cotA=1 since, tanA=1/cotA

These are the trigonometric identities used.

LHS=

sec²A.cosec²A

=(1+tan²A) (1+cot²A) (multiply)

=1+cot²A+tan²A+tan²A.cot²A

=1+tan²A+cot²A+1

=tan²+cot²A+2

=RHS

Hence proved

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