Factoring Trigonometric Equations

Practice Questions

Trigonometry › Factoring Trigonometric Equations

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1

Factor $1-2\cos x+\cos^2 x$ .

2

Which of the following values of in radians satisfy the equation

$\frac{\pi}{4}$
$\frac{\pi}{2}$
$\frac{3\pi}{4}$

3

$f(x)=\sin^2(x)+\cos^2(x)-\sin(2x)$

Find the zeros of the above equation in the interval

$[0,\pi]$ .

4

Factor the expression

5

Factor the following expression:

$sin^{3}x-1$

6

We accept that :

What is a simple expression of

$cos^{4}x-sin^{4}x$

7

Factor the following expression:

8

Factor the following expression

$sin^{2n}(x)+2sin^n(x)+3$ where is assumed to be a positive integer.

9

Factor

$1-cos^{11}x$

10

Find a simple expression for the following :

$cos^{2n}x-cos^{2n+2} x$

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