Question

show that 3 sin theta minus cos theta power 4 + 6 sin theta + cos theta square + 4 sin power 6 theta + cos power 6 theta is equals to 13​

Answer 1

Answer:

refer the attachment

Step-by-step explanation:

let theta = x

4sin^2(x)=3

sin^2(x)=3/4

sin(x)=(3/4)^1/2 [square root]

sin(x)=sqrt(3)/2

x=sin^-1( sqrt(3)/2)

x= pi/3 or 60 degrees

now 1+cosx= 1+ cos(60)

=1+1/2=3/2

hence x=theta=3/2