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tonb
The cosine repeats itself every 360 degrees, and it mirrors at 0 and 180 degrees. It inverts around 90 and 270.
So without using a calculator, you can tell that:

cos(520)=cos(520-360)=cos(160)
cos(160) = cos(180-20) = cos(180+20) = cos(200)
cos(160) is NOT equal to cos(20), it would be -cos(20).
cos(160) = -cos(20) = -cos(-20)

So C is the only one unequal.

Among the following options, for the trigonometric function the option (C) is not equal to cos⁡(520°).

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The trigonometric function is cos⁡(520°)

The cosine function is positive in I and IV quadrant.

The cosine function is an even function. So, cos(-θ) = cosθ

For cos θ = 0, 180, 360 ± θ, it will be cos θ and

For cos θ = 90, 270 ± θ, it will be sin θ

Now, cos(520°) = cos(360°+160°)

⇒ cos(160°)

cos(160°) = cos(180°-20°)

⇒ -cos(20°)         [∵ cos θ is negative in II quadrant ]

cos(360°-160°) = cos(200°)  

-cos(-20°) = -cos(20°)       [∵ cosine is an even function]

Hence we can conclude that among the following options, for the trigonometric function the option (C) is not equal to cos⁡(520°).

Learn more about trigonometry here

https://brainly.com/question/14818812

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