State whether the following statements are true or false. Give reasons.
(i) As the value of `sin theta` increases, the value of `tan theta` decreases.
(ii) When the value of `sin theta` is maximum, the value of `cosec theta` is also maximum.
(Note: `0^@ le theta le 90^@.)`

The maximum value of (1)/(cosec theta) is

The maximum value of cos theta + sin theta , if

The Maximum value of a sin theta+b cos theta is:

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 theta + cosec theta =2 ,then the value of sin^5theta cosec^5 theta ,when 0^@ le theta le 90^@ , is

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

If sin theta + cosec theta = 2 then the value of sin^5 theta + cosec^5 theta is

The value of (tan theta cosec theta)^(2) - (sin theta sec theta)^(2) is: