Question

sin(90-theta)=cos(90-theta) then find theta

Answer 1

Heya brainliac!

Sin(90-qetha) = cos(90-qetha)

Cos qetha = Sin qetha

1 = sin qetha / cos qetha

1 = Tan qetha

Hence qetha = 45°

Answer 2

Given:

sin(90 - theta) = cos(90 - theta)

To find:

Find the value of theta

Solution:

Given that,

sin(90 - theta) = cos(90 - theta)

We can see that here the value of cos and sin are equal, also another thing we can notice is that the angle is less than 90.

So we need to find an acute angle that lies in the first quadrant on which values of sin and cos theta are equal.

So we can conclude that the value of 90 - theta will be 45 as it is the only angle in the first quadrant on which sin and cos functions are equal.

Therefore,

90 - theta = 45

theta = 90 -45

theta = 45

Therefore, value of theta will be 45.