1.

If, sin50° = α then write the value of cos 50° in terms of α.

Answer»

We know that

cos2 θ + sin2 θ = 1

⇒ cos2 50° + sin2 50° = 1

⇒ cos 2 50° = 1 – sin2 50°

⇒ cos 50° = √(1 – sin2 50°)

And Given that sin 50° = a

⇒ cos 50° = √(1 – a2 )



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