trig identity

solve the following quations for t, 0_< t < 2pie

sin(2t) = 2cost

Simplify the expression sin(2cos-1x) in terms of x iwhtout trigonometric functions.

solve the following quations

solve the following quations for t, 0_< t < 2pie

sin(2t) = 2cost

Sin2t=2Sint Cost

2Sint Cost = 2cos t

2Sintcost-2cost=0

Taking 2cost common

2cost(sint-1)=0

 

either

cost=0

t = 90 or 270 degrees

sint-1=0

sint=1

t=90 degrees , 270 degrees etc

Answer