Answer:
x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z
or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z
Step-by-step explanation:
Solve for x:
sin(2 x) = cos(x + 30 °)
Rewrite the right hand side using cos(θ) = sin(θ + π/2):
sin(2 x) = sin(30 ° + π/2 + x)
Take the inverse sine of both sides:
2 x = -30 ° + π/2 - x + 2 π n_1 for n_1 element Z
or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z
Add x to both sides:
3 x = -30 ° + π/2 + 2 π n_1 for n_1 element Z
or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z
Divide both sides by 3:
x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z
or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z
Subtract x from both sides:
Answer: x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z
or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z
Answer:
24.5 oz
Step-by-step explanation:
1 cup ----> required 3.5 oz of cocoa
1 cups -----> requires 3.5 oz x 7 = 24.5 oz of cocoa
The answer for that is
x= 3,2
Step-by-step explanation:
l=✓9²+4²
l=√81+16
l=✓97
Answer:
19 degrees
Explanation:
The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).