2
1 - tan A
2
1 + tan- A
1 + cot²A
(17.00
tan?
cot A
plzzzzzz solve it fast......
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Here, we will use, tan2A=2tanA1−tan2A
1+tanAtan(A2)=1+⎛⎝⎜2tan(A2)1−tan2(A2)⋅tan(A2)⎞⎠⎟
=1−tan2(A2)+2tan2(A2)1−tan2(A2)
=1+tan2(A2)1−tan2(A2)
=sec2(A2)cos2(A2)−sin2(A2)cos2(a2)
=sec2(A2)sec2(A2)cosA=secA
Now, tanAcot(A2)−1=⎛⎝⎜2tan(A2)1−tan2(A2)⎞⎠⎟(1tan(a2))−1
2−1+tan2(A2)1−tan2(A2)
=1+tan2(A2)1−tan2(A2)
=sec2(A2)cos2(A2)−sin2(A2)cos2(a2)
=sec2(A2)sec2(A2)cosA=secA
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