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Show that Sin 1000 – Sin 100 is positive.
Let f(x) = sin 100° – sin 10°
Dividing And multiplyingBy √(1 + 1) = √2,
We know that cosA cosB – sinA sinB = cos(A +B)
∴ f(x) = √2 cos 55°
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
(iv) sin x – cos x + 1
Reduce each of the following expressions to the Sine And Cosine of A single expression:
Reduce each of the following expressions to the Sine And Cosine ofA single expression:
cos x – sin x
24 cos x + 7 sin x
Prove that lies between and .