vidalmari6p99qfk
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  • 25-01-2020
  • Mathematics
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For what value of theta does sin 2theta = cos(theta+30)?
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For what value of theta does sin 2theta costheta30 Show steps class=

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bayosanuade
bayosanuade bayosanuade
  • 25-01-2020

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 [tex]90^{0}[/tex].

Therefore : 2Ф + Ф + 30 = 90

3Ф + 30 = 90

3Ф         = 90 - 30

3Ф        = 60

Ф          = 20

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