Question

Q2)Prove that :- (tan theta/1-cot theta) + (cot theta/1-tan theta) = 1+tan theta + cot theta​

Answer 1

Step-by-step explanation:

ANSWER

1−cotθ

tanθ

+

1−tanθ

cotθ

=

1−

tanθ

1

tanθ

+

1−tanθ

tanθ

1

=

tanθ−1

tan

2

θ

−

tanθ−1

tanθ

1

=

tanθ−1

tan

2

θ−

tanθ

1

=

tanθ(tanθ−1)

tan

3

θ−1

=

tanθ(tanθ−1)

(tanθ−1)(tan

2

θ+tanθ+1)

=

tanθ

tan

2

θ+tanθ+1

=tanθ+1+cotθ

=

cosθ

sinθ

+

sinθ

cosθ

+1

=1+

cosθ⋅sinθ

sin

2

θ+cos

2

θ

=1+

cosθsinθ

1

=1+secθ⋅cosecθ.

Answer 2

Answer:

see the above attachment,.....