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3 years ago

Find the solutions/ show steps Sin2x+sin(4x) =0

Mathematics

1 answer:

NISA [10]3 years ago

4 0

Answer:

x = 0, π/3, π/2, 2π/3, π, 4π/3, 3π/2, 5π/3

Step-by-step explanation:

sin(2x) + sin(4x) = 0

Use double angle formula.

sin(2x) + 2 sin(2x) cos(2x) = 0

Factor.

sin(2x) (1 + 2 cos(2x)) = 0

Solve.

sin(2x) = 0, cos(2x) = -½

2x = 0, 2π/3, π, 4π/3, 2π, 8π/3, 3π, 10π/3

x = 0, π/3, π/2, 2π/3, π, 4π/3, 3π/2, 5π/3

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Answer:

Part a

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Step-by-step explanation:

We can use the future vaue formula for compound interest given by:

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$A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506$

Part b

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