Check whether the following statement is true or false.
If `u = e^(sin^(-1) theta` and `v = e^(-cos^(-1) theta`, then `frac{du}{dv}` is a constant for any value of `theta`.
Show your work with valid reason.

State whether the following are true or false. Justify your Solution. sin theta = 4/3 for some angle theta .

If u=cot^(-1)sqrt(cos theta) -tan^(-1)sqrt(cos theta) then sin u=

state True or false and jastify sin theta=cos theta for all values of theta .

What is the value of (sin theta)/(1 +cos theta) + (1 + cos theta)/sin theta ?

State whether the following are true or false. Justify your answer. (i) sin (A+B)=sin A+sin B . (ii) The value of sintheta increases as theta increases. (iii) The value of costheta increases as theta increases. (iv) sintheta=costheta for all values of theta (v) cot A is not defined for A = 0^@

If sin^(6) theta + cos^(6) theta -1 = lambda sin^(2) theta cos^(2) theta then the value of lambda is

This question has statement which is true or false.5, If (pi)/(9)

Which of the following statement is true? (A) sin theta=cos (90-theta) (B) cos theta=tan (90-theta) (C) sin theta=tan(90-theta) (D) tan theta=tan (90-theta)

If sin theta + cos theta =1, the value of sin theta cos theta is

(cos theta)/(1-sin theta) - (cos theta)/(1+sin theta) = 2 is satisfied by which one of the following values of theta ?