In a `DeltaP Q R` , if `3sinP+4cosQ=6` and `4sinQ+3cosP=1` , then the angle R is equal to (1) `(5pi)/6` (2) `pi/6` (3) `pi/4` (4) `(3pi)/4`

In a DeltaPQR . if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1 , then the angle R is equal to:

cos^(-1)(cos((7pi)/6)) is equal to (A) (7pi)/6 (B) (5pi)/6 (C) pi/3 (D) pi/6

If t a nalpha=x/(x+1) and t a nbeta=1/(2x+1) , then alpha+beta is equal to (a) pi//2 (b) pi//3 (c) pi//6 (d) pi//4

If a line makes an angle of pi/4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is (1) pi/6 (2) pi/3 (3) pi/4 (4) pi/2

cos^-1 {-sin((5pi)/6)}= (A) - (5pi)/6 (B) (5pi)/6 (C) (2pi)/3 (D) -(2pi)/3

If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0

IF the lengths of the side of triangle are 3,5 and 7, then the largest angle of the triangle is pi/2 (b) (5pi)/6 (c) (2pi)/3 (d) (3pi)/4

Prove that sin^(2) (pi/6) + cos^(2) (pi/3) - tan^(2) (pi/4) = - (1)/(2)

If (costheta+cos2theta)^3=cos^3theta+cos^3 2theta, then the least positive value of theta is equal to pi/6 (b) pi/4 (c) pi/3 (d) pi/2

If the line xcostheta=2 is the equation of a transverse common tangent to the circles x^2+y^2=4 and x^2+y^2-6sqrt(3)x-6y+20=0 , then the value of theta is (5pi)/6 (b) (2pi)/3 (c) pi/3 (d) pi/6