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.
The easy way to think about this is what number comes between 5 and 7? The answer is 6 (but we have to consider that it's negative in this case.) So the answer is -6 Another way to look at it is with a number line (not to "Which number is greater than -7 and less than -5"? scale.)<===(-7)==(-6)==(-5)==(-3)==(-2)==(-1)==(0)==(1)==>Notice how -6 comes between the two numbers. -6 is larger than -7 (it's "less negative" -- "Which number is greater than -7 and less than -5"? closer to zero) -6 is less than -5 (it's "more negative" -- further away from zero)
Answer:
Step-by-step explanation:
The 1 choice. The events are independent because P(red) ×P(green)= P(red and green)