0.10cos theta=(a^(2)+b^(2))/(2ab)," where "a" and "b" are two distinct numbers such that "

costheta=(a^(2)+b^(2))/(2ab) , where a and b are two distinct numbers such that ab gt 0 .

costheta=(a^(2)+b^(2))/(2ab) , where a and b are two distinct numbers such that ab gt 0 .

If (25)^(2)+a^(2)+50a cos theta =(31)^(2)+b^(2)+62 b cos theta=1 and 775 + ab + (31a+25b) cos theta=0 , then the value of cosec^ (2) theta is

If (25)^(2)+a^(2)+50a cos theta =(31)^(2)+b^(2)+62 b cos theta=1 and 775 + ab + (31a+25b) cos theta=0 , then the value of cosec^ (2) theta is

If (25)^(2)+a^(2)+50a cos theta =(31)^(2)+b^(2)+62 b cos theta=1 and 775 + ab + (31a+25b) cos theta=0 , then the value of cosec^ (2) theta is

If tan theta=sqrt((a)/(b)) where a,b, are positive reals then the value of s int h eta sec^(7)theta+cos theta cos ec^(2)theta is-a.((a+b)^(3)(a^(4)+b^(4)))/((ab)^(7/2)) b.((a+b)^(3)(a^(4)-b^(4)))/((ab)^(7/2)) c.((a+b)^(3)(b^(4)-a^(4)))/((ab)^(7/2))d.((a+b)^(3)(a^(4)+b^(4)))/((ab)^(7/2))

If x=2cos theta-3sin theta & y=2sin theta+3cos theta such that (dy)/(dx) at theta=(pi)/(4) is equal to (a)/(b) (where a & b are relatively prime),then |a+b| is equal to

If alpha "and " beta be two distinct real numbers such that (alpha-beta) ne 2 n pi for any integer n satisfying the equations a cos theta + b sin theta =c then prove that (i) "cos " (alpha+ beta) =(a^(2) -b^(2))/(a^(2) +b^(2)) " "(ii) "sin " (alpha + beta) = (2ab)/(a^(2)+b^(2))