English, asked by Anonymous, 9 months ago

(1 + cot 0 - cosec 0)(1 + tan 0 + sec 0) = 2​

Answers

Answered by AnumehPatil
7

Explanation:

RHS: (1 + tanA + secA) (1 + cotA - cosecA) = 2

On substituting the values of tanA , secA, cotA and cosecA,

(1 + sinA/cosA + 1/cosA)(1 + cosA/sinA - 1/sinA)

=[(cosA + sinA + 1)/cosA][(sinA + cosA - 1)/sinA]

=( (cosA + sinA)² - 1²)/cosAsinA

= cos²A + sin²A + 2 - 1

= 1 + 2 - 1

=2

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