If tan B +cot B =2, than tan2B+cot2B is :?
Answers
Answered by
9
Answer:
We know that 2A=(A+B)+(A−B)
⇒tan2A=tan[(A+B)+(A−B)]
=
1−tan(A+B)tan(A−B)
tan(A+B)+tan(A−B)
using the compound angle formula,
⇒tan(A+B)=
1−tanAtanB
tanA+tanB
=
1−pq
p+q
cot2A=
tan2A
1
=
1−pq
p+q
1
=
p+q
1−pq
∴cot2A=
p+q
1−pq
Answered by
4
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Answered by
3
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