PROVE THAT.
(tanA + cotA)² = sec²A + cosec²A = sec²A cosec²A
PLEASE HELP!!!
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Answer:
To prove :-
( tanA + cotA )²
= cosec²A Sec²A
LHS
( tanA + cotA ) ²
= tan²A + cot²a + 2 tanA cotA
= tan²A + Cot²A
= Sin²A / Cos²A + Cos²A / Sin²A
= Sin²A + Cos²A / Sin²A Cos²A
= 1 / Sin²A Cos²A
= Cosec²A Sec²A = RHS
LHS = RHS ( Hence proved )
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