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2 years ago

1-sina/cosa=cosa/2-sina/2÷cosa/2+sina/2

Mathematics

1 answer:

Serhud [2]2 years ago

5 0

Step-by-step explanation:

Let's take the RHS,

we've,

Let's Rationalise the Denominator.

we get,

The numerator is in form of (a-b)^2 and the denominator is in form of a^2-b^2. Now,

By formula,

Here I substituted Cosa in place of (Cosa/2)^2 - (sina/2)^2 because it's the formula of cosa in sub multiple angle form.

<h3>In the numerator, </h3>

(sina/2)^2 + (Cosa/2)^2 =1.........( by formula)

so we have,

<h3 /><h3 /><h3>1 - sina {because 2sina/2.cosa/2=sina)</h3><h3>Cosa</h3>

LHS proved.

Thank You.

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1-sina/cosa=cosa/2-sina/2÷cosa/2+sina/2​

1-sina/cosa=cosa/2-sina/2÷cosa/2+sina/2