Question

Solve the equation cos∅=sin40°

Answer 1

Answer:

cos @ = sin 40°

cos @ = cos( 90° - 40° )

cos @ = cos 50°

So @(theta) = 50°

###note:: i have taken theta as @

Answer 2

Answer:

The value of θ is 50°

Step-by-step explanation:

Given : cos∅=sin40°

To find : θ

Concept :

There are 4 quadrants, i.e. First, second, third and fourth quadrant.

In the first Quadrant Sinθ = Cos( 90 - θ).

So when we have to convert sin to cos, we subtract the given angle from 90°. In the first quadrant, since all the trigonometric ratios are positive, change in sign will not take place.

Solution:

sin40°

= cos(90 - 40)°

= cos 50°

So, we can say that   sin 40° = cos 50°   ...........(i)

Given that                    cos∅=sin40°         ...........(ii)

From equation i and ii we can say that the value of ∅ is 50°.

So, the value of θ is 50°.

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