Answer:
Step-by-step explanation:
Given:
Composite Function:
Also,
To find:
Solution:
First of all, let us learn about a composite function.
Composite function means to write
in place of
in the function
.
Let
So, =
.
Therefore,
So,
We have to solve for in terms of
to find the value of
:
Hence, the answer is .
Checking whether the answer is correct or not:
which is .
Hence, our answer is correct.
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.