Question

Write the value of $2(si{n}^{\theta }+co{s}^6\theta )-3(si{n}^4\theta +co{s}^4\theta )+1.$

Answer 1

$2(si{n}^6\theta +co{s}^6\theta )-3(si{n}^4\theta +co{s}^4\theta )+1$

$=2\left(\right(si{n}^3\theta {)}^2+\left(co{s}^3\theta {)}^2\right)-3\left(\right(si{n}^2\theta {)}^2)+(co{s}^2\theta {)}^2)+1$

=2(1)-3(1)+1

=2-3+1

=0