Question

which of the flowing are derrivatives of f(x)=2/secxcscx.
1) sin^2 x+c
2)-cos^2 x+c
3)-cos2x/2 + c

Answer 1

anti derivatives sorry

Answer 2

\[\int \frac{2}{\sec x \csc x}dx=\int2 \sin x \cos x dx=\int\sin 2x dx=-\frac{1}{2}\cos 2x+C\]

Answer 3

so the first one and last one ??

Answer 4

or just last one ?

Answer 5

Yes. Both of them, since \(\cos 2x=1-2\sin^2 x\).

Answer 6

so the second one no right?

Answer 7

Yep. :)

Answer 8

thank you Inlucero <3

Answer 9

Your welcome. :)