Question

Find the maximum value of the expression
sin theta( 1 + cos theta)​

Answer 1

Step-by-step explanation:

sinθ+cosθ

=2(2sinθ+2cosθ)

=2(sin(θ+4π))

max value of sin(θ+4π)=1

min value o sin(θ+4π)=2

max value of sinθ+cosθ=2

Answer 2

$\sqrt{2}$