Question

simplify the expression sin x(csc x-sin x)

Answer 1

\[\cos ^2x\]

Answer 2

\[b(\frac{1}{b}-b)=1-b^2\]

Answer 3

then
\[1-\sin^2(x)=\cos^2(x)\]

Answer 4

\[=\frac{sinx}{sinx}-sin^2x=1-sin^2(x)=cos^2x\]

Answer 5

1) Distribute
2) sin multiplied by csc is 1 (reciprocal identity)
3) sin multiplied by sin is sin ^ 2
4) 1-sin^2 = cos^2 (basic identity)

Answer 6

thank you so much that helped a lot.