Question

solve this problem d no.

Answer 1

f (x) =sin x
¢ (x) = cos x
according to question,
¢ (π/2+x) = cos (π/2+x)
= -sin x
= -f(x).........
{proved}

Answer 2

Hey!!!

Here is your answer_______________


given,

f(x) = sin x

and ¢ (x) = cos x

we have to show that ¢(pi/2 + x) = -f(x)

we have ¢(x) = cos x

put x = pi/2 + x

therefore,
¢(pi/2 + x) = cos(pi/2 + x)

pi/2 + x means angle lie in second quarandnt,

According to the trignometric ratios,

¢(pi/2 + x) = - sinx

hence,
¢(pi/2 + x) = -f(x)

Hence the proof.


=============================


HOPE THIS ANSWER WILL HELP U........