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Ostrovityanka [42]
3 years ago
8

How do I solve these equations:

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that

sin(2θ)+sinθ=0

We know that

sin(2θ)=2 sinθ x cosθ

Therefore

2 sinθ x cosθ + sinθ=0

sinθ(2 cosθ+1)=0

sinθ= 0

θ=0

2 cosθ+1=0

cosθ= - 1/2

θ=120°

_______________________________________________________

sin 2\theta=\sqrt{3cos\theta}

By squaring both sides

sin^2 2\theta={3cos\theta}

4 sin²θ x cos²θ=3 cosθ

4 sin²θ x cos²θ - 3 cosθ=0

cos θ = 0

θ= 90°

4 sin²θ=3

θ=60°

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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2
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Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

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Let n be the numerator of the fraction and d be the denominator of the fraction.

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Do cross multiplication, we get

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