Cot square A+cos square A*cot square A
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Answer:
cot²a + cos²a = cot²a
LHS= cot²a +cos²a
cos²a/sin²a + cos²a [cot²a= cos²a/sin²a]
cos²a+ sin²a•cos²a
sin²a
1-sin²a + sin²a(1-sin²a)
sin²a. [sin²a+ cos²a=1]
1-sin²a + sin²a-sin²a
sin²a
1-sin²a
sin²a
cos²a
sin²a
cot²a
since LHS= RHS
Hence proved
Step-by-step explanation:
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