Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Answer:
x=2
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
1 times 70 = 70
Answer :A)-2
Step-by-step explanation: If you multiply B; x + 9y =10 by -2 you will have -2 x+ -18y= -20. Then when you add B with a 2x + 8y = 5
-2x +-18y=-20
=0 +-10y=-15
Answer:
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
Step-by-step explanation:
According to tangent sub identity
Tan(A+B) = TanA+TanB/1-tanAtanB
Applying this in question
Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)
According to trig identity, tan(pi) = 0
Substitute
Tan(w+Pi) = tan(w)+0/1-tan(w)(0)
Tan(w+Pi) = tan(w)/1
Tan(w+Pi) = tan(w) (proved!)
Hence the correct option is
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
