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notka56 [123]
2 years ago
8

For what value of theta does sin 2theta = cos(theta+30)? Show steps

Mathematics
1 answer:
kolbaska11 [484]2 years ago
8 0

Answer: Ф = 20

Step-by-step explanation:

sin2Ф = cos (Ф+ 30 )

if sinα = cosβ , then α and β are complementary ,that is they add up to be 90^{0}.

Therefore : 2Ф + Ф + 30 = 90

3Ф + 30 = 90

3Ф         = 90 - 30

3Ф        = 60

Ф          = 20

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