Question

the value of theta for which cos(10°+theta) = sin 30° is​

Answer 1

Answer:

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Answer 2

The value of θ = 50°

Given:

Cos(10°+θ) = sin 30°

To find:

The value of θ

Solution:

Given Cos(10°+θ) = sin 30°

As we know Sin 30° = 1/2

⇒  Cos(10°+θ) = 1/2

And we also know that Cos 60° = 1/2

⇒ Cos(10°+θ) = Cos 60°

⇒ 10° + θ = 60°  

⇒ θ = 60° - 10° = 50°

⇒ The value of θ = 50°

We can check it by substituting θ = 50° in given expression

Cos(10°+θ) = Sin 30°  ⇒ Cos(10°+50°) = Sin 30°

⇒ Cos 60° = Sin 30° = 1/2

Therefore, the value of θ = 50°

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