Free Printable Daily Challenge 4: Trigonometric Equations

Worksheets

Name

Class

Date

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $\cos x=\frac{1}{2}$

(a)

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $\tan x=\sqrt{3}$

(a)

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $2\sin^2x-\sin x=0$

(a)

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $2\sin^2x-5\sin x+3=0$

(a)

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $3\cos x+3=2\sin^2x$

(a)

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $\tan^2x+\sec^2x=3$

(a)

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $\csc2x=-2$

(a)

Solve for $x$ in the interval $\left[0,\ 2\pi\right)$ : $\cos2x=\sin x$

(a)

Solve for $x$ : $\sin x+\cos x=0$

$\frac{\pi}{4}+k\pi,\ k\in\text{Z}$

$\frac{\pi}{4}+\left(2k+1\right)\frac{\pi}{2},\ k\in\text{Z}$

$\frac{3\pi}{4}+k\pi,\ k\in\text{Z}$

$\frac{3\pi}{4}+\left(2k+1\right)\frac{\pi}{2},\ k\in\text{Z}$

10.

Solve for $x$ : $\sin x\cos x=0$

integer multiples of $\pi$

integer multiples of $\frac{\pi}{2}$

odd integer multiples of $\pi$

odd integer multiples of $\frac{\pi}{2}$

100 %

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