The complementary angle to 75 degrees is 25 degrees.
The sine of 15 degrees is .2588
LETTER D
Answer:
1) C
2) D
Step-by-step explanation:
1)
We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.
This is represented by the diagram below.
Recall that cosine is the ratio of the adjacent side to the hypotenuse.
Find the hypotenuse:

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

Our answer is C.
2)
We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.
This is represented in the diagram below.
Likewise, find the hypotenuse:

Sine is given by the ratio of the opposite side to the hypotenuse.
The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

Our answer is D.
Answer:
x ≤ -7
Step-by-step explanation
<em>the steps to solve this are:</em>
1. Add 10 to both sides to get the x value and constant isolated on both sides.
-2x ≥ 14
2. Divide both sides by -2 to get the x value
x ≥ -7
3. Flip the inequality sign since you divided by a negative x-value.
x ≤ -7
Hope i could help! :)
Answer:
66° by adding up 75° and 39°, we get 114°.
since all triangles equal 180°, 180° minus 114° is 66°
Answer:
f•g(x) = f(x)•g(x)
f•g(x) = (2x-1) (x²-2x+1)
= 2x³-4x²+2x-x²+2x-1
= 2x³-5x²+4x-1