Can you please help? The question is in the picture picture. thank you

Question

asked Oct 11, 2022 96.3k views

1 Answer

Alou · Answer 1 · 2022-10-17T21:10:13+0000

Given:

The value is
(√(2))/(2) .

To find:

The values from the given options which are equal to the given value.

Solution:

We have,

(√(2))/(2)

It can be written as:

(√(2))/(2)=(1)/(√(2))

From the standard trigonometric table, we get

$\sin 30^\circ=(1)/(2)$

$\sin 45^\circ=(1)/(√(2))$

$\cos 45^\circ=(1)/(√(2))$

$\cos 60^\circ=(1)/(2)$

$\tan 30^\circ=(1)/(√(3))$

$\tan 45^\circ=1$

From the above values it is clear that the value of
$\sin 45^\circ$ and
$\cos 45^\circ$ are equal to
(1)/(√(2)) .

Therefore,
$\sin 45^\circ$ and
$\cos 45^\circ$ and equal to
. So, options B and C are correct.