We have to evaluate cos(2θ), knowing that θ is in the first quadrant and in standard position P(u,v) = (3,4).
We can picture this as:
We can write the relation:
We now look at the identities to find cos(2θ):
There are many identities for cos(2θ), but this is expressed in the information we already know, so we can solve as:
Answer: cos(2θ) = -7/25
Answer:
h is approximately equal to 13.4
Step-by-step explanation:
We can use the sine rule to solve this. We're told that the hypotenuse is 18 cm and we know that it's opposite a corner of 90 degrees. We also know that the corner opposite the side of length h has an angle of 48 degrees.
With that we can use the sine rule to solve for h:
Answer:
I hope it's helpful...good luck
Answer:
x³ + 9x² + 16x - 6
Step-by-step explanation:
First, you have to multiply x + 3 with x² + 6x - 2.
(x + 3)(x² + 6x - 2)
You will get:
x · x² = x³
x · 6x = 6x²
x · -2 = -2x
3 · x² = 3x²
3 · 6x = 18x
3 · -2 = -6
When you combine these, you get:
x³ + 6x² - 2x + 3x² + 18x - 6
Add them up to get your answer,
x³ + 9x² + 16x - 6.
Hope this helps!