`(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s"` (a) `3/4` (b) `4/3` (c) `2a(a^2+1)` (d) `(2a)/(a^2-1)`

(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftan alpha is

(a+2)sinalpha(2a-1)cosalpha=(2a+1)if tanalpha is

(a+2)sin alpha+(2a-1)cos alpha=(2a+1) if tan alpha i s (a) (3)/(4) (b) (4)/(3) (c) 2a(a^(2)+1) (d) (2a)/(a^(2)-1)

If sin.alpha/2+cos.alpha/2=1.4, then: sinalpha=

4 1/3-2 1/3= (a) 2 1/3 (b) 2 (c) 3 1/3 (d) 1/2

If A=[[cosalpha,-sinalpha],[sinalpha,cosalpha]] , then A+A^(prime)=I , if the value of alpha is (A) pi/6 (b) pi/3 (c) pi (d) (3pi)/2

If 5tanalpha=4 , show that (5sinalpha-3cosalpha)/(5sinalpha+2cosalpha)=1/6

If 2 sinalpha+3cosalpha=2, " then " 3 sinalpha-2cosalpha = _________.

If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A=I ,then the value of alpha is ........ (A) (pi)/(6) (B) (pi)/(3) (C ) pi (D) (3pi)/(2)

If π<α<3π2 then sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to (a) 2/(sinalpha) (b) -2/(sinalpha) (c) 1/(sinalpha) (d) -1/(sinalpha)