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Inessa05 [86]
3 years ago
5

Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ​

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

30°

Step-by-step explanation:

\because \:  \sin(90 \degree -  \theta) =  \cos \theta \\ \therefore \:  \sin(90 \degree - 5 \theta) =  \cos 5\theta....(1) \\  \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree -  \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree -  \theta) \\ 5 \theta = 180 \degree -  \theta \\  5 \theta  + \theta= 180 \degree  \\ 6\theta= 180 \degree  \\  \theta =  \frac{180 \degree}{6}  \\  \\  \huge \red{ \boxed{\theta = 30 \degree}}

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