Question

please solve and explain​

Answer 1

Step-by-step explanation:

by multiplying and dividing by (1-sintheta)

using identity

taking square roots

then prove r. h. s=l.h.s

Answer 2

Answer:

The value is $\frac{sin\theta}{(1-cos\theta)}$.

Step-by-step explanation:

The expression can be solved as follows:

$\sqrt{\frac{1+cos\theta}{1-cos\theta}}=\sqrt{\frac{1+cos\theta}{1-cos\theta}\times\frac{1-cos\theta}{1-cos\theta}}$

              $=\sqrt{\frac{1^{2}-(cos\theta)^{2}}{(1-cos\theta)^{2}}}$

              $=\sqrt{\frac{1-cos^{2}\theta}{(1-cos\theta)^{2}}}$

              $=\sqrt{\frac{sin^{2}\theta}{(1-cos\theta)^{2}}}$

              $=\frac{sin\theta}{(1-cos\theta)}$

Thus, the value is $\frac{sin\theta}{(1-cos\theta)}$.