Question

Given: -
\[f(x)=\sin x - \cos x.\]Prove that : -\[f(1) > 0.\]

Answer 1

\[f(1)=\sin 1 -\cos 1\]prove that \(\sin 1>\cos 1\) using the fact that \(1>\frac{\pi}{4}\)

Answer 2

hint\[\sin1 -\cos 1=\cos1 . (\tan 1-1)\]

Answer 3

write sin 1 = sin ( inverse sin (pi /2) ) and cos(1) = cos (inverse cos (0))

Answer 4

your answer would be pi/2 - 0

Answer 5

which is pi/2

Answer 6

and is >0

Answer 7

Thank u:D