1.

If cos40° = p, then write the value of sin 40° in terms of p.

Answer»

We know that

cos2 θ + sin2 θ = 1

⇒ cos2 40° + sin2 40° = 1

⇒ sin2 40° = 1 – cos2 40°

⇒ sin 40° = √(1 – cos2 40°)

And Given that cos 40° = p

⇒ sin 40° = √(1– p2)



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