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Case Study-1: Consider a right triangle,...

Case Study-1: Consider a right triangle, where a and b are its length, and base and c is its hypotenuse as shown below. When we observe and apply the trigonometric functions to make a relationship between angles and sides of the right triangle. We can obtain the results as per the calculations and the table depicted below.

If the right angle of the right triangle ABC is at the point C, then the sine (sin), cosine (cos) and tangent (tan) of the angles `alpha` (at the point A) and `beta` (at the point B). It should be noted that sin `alpha` cos `beta` are the equal and same goes for sin `alpha` and cos `beta`. So, to find sine of the angle, we divided the side that is opposite of that angle and the hypotenuse. To find the cosine of the angle, we divide the side that makes that angle (adjacent side) by the hypotenuse.
Thus,

Find the value of `sinalpha+sinbeta`.

A

25/12

B

5/3

C

7/5

D

3/20

Text Solution

Verified by Experts

The correct Answer is:
C
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