<u>Answer:</u>
The correct answer option is C. 56.
<u>Step-by-step explanation:</u>
We are given that a group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets.
We are to find the number of combinations these 5 friends could
possibly receive the tickets.
Here, we will use the concept of combination as the order of the friends is not specific.
56
Answer:
OPTION C: Sin C - Cos C = s - r
Step-by-step explanation:
ABC is a right angled triangle. ∠A = 90°, from the figure.
Therefore, BC = hypotenuse, say h
Now, we find the length of AB and AC.
We know that:
and
Given, Sin B = r and Cos B = s
⇒
⇒
Hence, the length of the side AC = rh
Now, to compute the length of AB, we use Cos B.
⇒
Hence, the length of the side AB = sh
Now, we are asked to compute Sin C - Cos C.
⇒
= s
Sin C = s
⇒ Cos C =
Therefore, Cos C = r
So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.
