Question

prove that
$\sqrt{ \sec {}^{2} + \csc ^{2} } = \tan + \cot$

Answer 1

Heyy mate ❤✌✌❤

Here's your Answer...

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Answer 2

→√(sec²+cosec²)=tan+cot

∞ ∞ ∞
As we know
∞ ∞ ∞

→sec²=1/cos²
→cosec²=1/sin²
→√(1/cos²+1/sin²)=tan+cot

≈≈≈≈≈≈
≈≈≈≈≈≈

→L.H.S.=>√(sin²+cos²/cos²×sin²)
→√(1/cos²sin²)
→Removing root
(1/cos×sin)
1=sin²+cos²

Again putting in place of 1=sin²+cos²

→(sin²+cos²/cos×sin)
→(sin²/cos×sin)+(cos²/cos×sin)
→(sin/cos)+(cos/sin)
→tan+cot=R.H.S.

HENCE L.H.S.=R.H.S.