If tan0=-3/4 and 0 is in quadrant IV, cos20= (33/25, -17/25, 32/25, 7/25, 24/25?) and tan20= (24/7, -24/7, 7/25, -7/25, 13/7, -1
Oksana_A [137]
Answer:
- cos(2θ) = 7/25
- tan(2θ) = -24/7
Step-by-step explanation:
Sometimes, it is easiest to let a calculator do the work. (See below)
__
The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.
You can also use the identities ...
cos(2θ) = (1 -tan(θ)²)/(1 +tan(θ)²)
cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)
cos(2θ) = 7/25
__
tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)
tan(2θ) = -24/7
Answer:
18,086.4 cubic units
Step-by-step explanation:
The volume of one such cylinder can be computed by multiplying the height by pi by the radius squared: 3×3.14×4²=150.72.
If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.
Answer: $998.67
Step-by-step explanation:
M = P[r(1+r)^n/((1+r)^n)-1)]
This does not include taxes, insurance, or PMI
X-intercepts: (2.1, 0) and (-8.1, 0)
y-intercept: (0, -17)
Answer:
X>50
X>-51
Step-by-step explanation:
6+x>56
56+x>5
separate the equation into different equations by the sign
I) 6+x>56
x>56-6
x>50
ii) 56+x>5
x>5-56
x>-51
