If `sinalpha15/17,pi/2

If sin alpha=15/17, pi/2 < alpha < pi and cos beta = -4/5, pi < beta < (3pi)/2 find cos (alpha-beta)

If pi/2 lt alpha lt pi, pi lt beta lt 3pi/2; sin alpha = 15/17 and tan beta = 12/5 , then the value of sin(beta - alpha) is (A) -171/221 (B) -21/221 (C) 21/221 (D) 171/221

If sinalpha=(-3)/5 , where pi<(alpha)<(3pi)/2 , then cos(alpha/2)=

Let alpha,beta be such that pi<(alpha-beta)<3pi . If sinalpha+sinbeta=-21/65 and cosalpha+cosbeta=-27/65 , then the value of cos((alpha-beta)/2) is

If sinalpha=1/sqrt5 and sinbeta=3/5 , then beta-alpha lies in

If sin theta=15/17 and theta lies in 1st quadrant, then cos theta=?

If sinA=-5/13 , pi < A < (3pi)/2 and cosB=3/5 , (3pi)/2 < B < 2pi find sin(A+B)

Select the correct option from the given alternatives.If A = [[cosalpha,sinalpha],[-sinalpha,cosalpha]] then A^-1 = ? 1) [[frac{1}{cosalpha},-frac{1}{sinalpha],[frac{1}{sinalpha},frac{1}{cosalpha]] 2) [[cosalpha,-sinalpha],[sinalpha,cosalpha]] 3) [[-cosalpha,sinalpha],[-sinalpha,cosalpha]] 4) [[-cosalpha,sinalpha],[sinalpha,-cosalpha]]

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) , then sinalpha+cosalpha and sinalpha-cosalpha is equal to