Question

cosec x sec x

Answer 1

write sec x in terms of sin ,cos

Answer 2

what is the definition of secx?
what does it equal to?

Answer 3

\[\csc x=\frac1{\sin x} \]\[\sec x=\frac1{\cos x} \]

Answer 4

thanks.

Answer 5

Can you do its fully work?
Its questions just simplify cosec x sec x

Answer 6

\[\csc x\cdot\sec x\\
=\frac1{\sin x}\cdot\frac1{\cos x}\\
=\frac1{\sin(x)\cos(x)}\\=\qquad\vdots\]

Answer 7

now we can use \(\sin(x)\cos(x)=\frac12\sin(2x)\)
so we get
\[=\qquad\vdots\\
=\frac1{\frac12\sin(2x)}\\
=\frac2{\sin(2x)}\\
=2\csc(2x)\]