Q2 of 90 Page 7

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)



More from this chapter

All 90 →
1

Find the maximum and minimum values of each of the following trigonometrical expressions:

(i) 12 sin x- 5 cos x


(ii) 12 cos x + 5 sin x+ 4


(iii)


(iv) sin x – cos x + 1

 2

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

 2

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

24 cos x + 7 sin x

 3

Show that Sin 1000 – Sin 100 is positive.