The sides of a triangle inscribed in a given circle subtend angles $$\alpha $$, $$\beta $$ and $$\gamma $$ at the centre. The minimum value of the arithmetic mean of $$cos\left[ {\alpha + {\pi \over 2}} \right],\,\cos \left[ {\beta + {\pi \over 2}} \right]$$ and $$cos\left[ {\gamma + {\pi \over 2}} \right]$$ is equal to _______.
Answer
$${{ - \sqrt 3 } \over 2}$$
2
IIT-JEE 1987
Fill in the Blanks
The solution set of the system of equations $$X + Y = {{2\pi } \over 3},$$ $$cox\,x + cos\,y = {3 \over 2},$$ where x and y are real, is _____.
Answer
$$\phi $$
3
IIT-JEE 1981
Fill in the Blanks
Suppose $${\sin ^3}\,x\sin 3x = \sum\limits_{m = 0}^n {{C_m}\cos \,mx} $$ is an identity in x, where C0, C1 ,....Cn are constants, and $${C_n} \ne 0$$ , then the value of n is _____.
Answer
6
Questions Asked from Trigonometric Functions & Equations
On those following papers in Fill in the Blanks
Number in Brackets after Paper Indicates No. of Questions