prove
sec2A . cosec2A = tan2A+ cot2 A +2
Answers
Answered by
0
Answer:
Step-by-step explanation:
sec=1/2sinA
cosec= 1/2os A
=1/2sinA . 1/2cosA
=2cosA + 2sinA/2sinA .2cosA
=2cosA/2sinA + 2sinA/2cosA
=2(cosA/sinA)+2(cosA/sinA)
cos/sin =cot
sin/cos= tan
=2cotA + 2tanA
=
Answered by
1
Answer:
Proved.
Step-by-step explanation:
RHS:
tan ² A+cot ² A+2
=sin ² A/cos ² A+cos ² A/sin ² A+2
=sin⁴A+cos⁴A/cos²A sin²A +2
=(sin²A+cos²A)²-2 sin²A cos²A/sin²A cos²A +2
1²-2 sin²A cos²A/sin²A cos²A + 2
=1/sin²A cos²A-2 sin²A cos²A/sin²A cos²A + 2
=cosec²A sec²A-2 + 2
=cosec²A sec²A=LHS
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