Prove cotx=sinxsin(\frac{\pi}{2}-x)+cos^{ 2}xcotx [/tex]

We have to prove that :

For this, let us take the Right Hand Side (RHS) and then prove the Left Hand Side (LHS).

RHS=

= ()

= ()

=

Now, we know that is common in the numerator and thus,

= ()

==LHS

Hence, LHS=RHS and thus the required equation has been proved.

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered