If `tanA=(1)/(7) and tanB=(1)/(3)` then show that `cos(2A)=sin(4B)`.

If tanA=(1)/(2)andtanB=(1)/(3) , then tan(2A+B) is equal to

If tanA=(1-cosB)/(sinB) , then tan2A=tanB .

If A=[1,7] and B=[{:(2,1),(3,4):}] , then find AB.

If sinA=1/2 , show that 3 cos A - 4 cos^(3) A= 0

If x=cos^(-1)(cos 4) " and " y=sin^(-1)(sin3) , then which of the following holds? (a) x-y=1 (b) x+y+1=0 (c) x+2y=2 (d) x+y=3pi-7

If costheta=a then show that cos^(2)((theta)/(2)) and sin^(2)((theta)/(2)) are roots of the equation 4x^(2)-4x+1=a^(2) .

If y=(1+tanA)(1-tanB)andA-B=(pi)/(4) then (y+1)^(y+1) = …………

By using above basic addition/ subtraction formulae, prove that (i) tan (A+B)=(tan A+tan B)/(1-tan A tan B) , (ii) tan (A-B)=(tan A-tanB)/(1+tan A tan B) (iii) sin2theta=2sintheta costheta , (iv) cos2theta=cos^(2)theta=1-2sin^(2)theta=2cos^(2)theta-1 (v) tan 2theta=(2 tan theta)/(1-tan^(2) theta)