In order for cos(x) = sin(x + h), h must be equal to:
Is it 120, 60, 45, or 90?

Question

In order for cos(x) = sin(x + h), h must be equal to:
	Is it 120, 60, 45, or 90?

anonymous · Answer

I know its one of those values

ash2326 · Answer

$$\sin (\theta + 90)= \cos (\theta)$$

anonymous · Answer

f(x) is translated by vector$$\left| a \ 0 \right|$$

then it becomes f(x-a)

since sin(x) is a translation of cos(x) by the vector where a= -90

we get the above answer

anonymous · Answer

or think about it like this

we know that cos(x) = cos(-x)

and we know that

sin(90-x) = cos(x) 
from this triangle

|dw:1334347163876:dw|

so

sin(90-x) = cos(x) = cos(-x)

now let -x = y

and we have cos(y) = sin(90 + y)

ash2326 · Answer

$$\cos x=\sin (90-x)$$
or
$$ \cos x= \sin (90+x)$$
here we have
$$ \cos x= \sin (x+h)$$
so here h= 90

anonymous · Answer

Thanks a lot guys:). I have to submit my assignment in 25 minutes. You guys saved my life!

anonymous · Answer

:D no problem happy to be of assistance