tan²theta+cot²theta +2=sec²theta cosec²theta verify
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Prove that :
tan² theta + cot ² theta +2 = sec² theta Cosec ² theta
R.H.S = sec² theta cosec² theta
= (1+ tan²theta ) ( 1+ cot² theta)
................( since, 1+ tan²A = sec²A and
1+cot²A = Cosec ²A )
= 1+ tan²theta + 1+ cot²theta
= tan²theta + cot ² theta +2
= L.H.S
Therefore, L.H.S = R.H.S
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