Math, asked by prachi2082, 10 months ago

sec²( arc tan 2 ) + cosec ²( arc cot 3 ) = ? pls ans this question ​

Answers

Answered by Siddharta7
2

Answer:

15

Step-by-step explanation:

Given,

sec²(tan⁻¹{2}) + cosec²(cot⁻¹{3})

[∴ sec²∅ = 1 + tan²∅, cosec² = 1 + cot²∅]

=> 1 + tan²(tan⁻¹ 2) + 1 + cot²(cot⁻¹ 3)

[∴ tan(tan⁻¹ x) = x, cot(cot⁻¹ x) = x]

=> 1 + 2² + 1 + 3²

=> 1 + 4 + 1 + 9

=> 15

Hope it helps!

Answered by Bhawnasrivastava89
0

Answer:

15

plz mark as brainlist answer...

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