Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Answer:
x = -2
Step-by-step explanation:
To start, let's add on the first side to get 3x + 6x - 6 = 9x - 6. For the second side, we need to distribute the 4 to get 4(2x) + 4(-2), or 8x + (-8) or 8x - 8. Setting these equal, we subtract 8x from both sides to get x - 6 = -8, and adding 6 to both sides gives x = -2.
You just multiply the x value by 5
-2(5)=-10
-1(5)=-5
0(5)=0
3(5)=15
6(5)=30
9(5)=45
Step-by-step explanation:
hope I understand your qyestion
Equation 1 : R+G=20
Equation 2 : 7R+3G=9
Multiply Equation by 3, it becomes
3R+3G=60 ...... Equation 3
Now Equation 3 minus Equation 2
-4R = 51
R = - 51/4
Sub R into Equation 1, you can find G