RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 7. Values of Trigonometric Functions at Sum of Difference of Angles

Subject: Maths - Class 10th

Q. No. 2 of Exercise 7.2

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Reduce each of the following expressions to the Sine And Cosine ofA single expression:

cos x – sin x

Let f(x) = cos x – sin x

Dividing and multiplying by √(1 + 1) = √2,

Sine of expression:

We know that sinA cosB – cosA sinB = sin(A –B)

Cosine of the expression:

We know that cosA cosB – sinA sinB = cos(A +B)


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