Interactive practice questions
Solve the equation $2\cos^2\left(\theta\right)=2-\sin\theta$2cos2(θ)=2−sinθ for $0\le\theta$0≤θ$<$<$2\pi$2π.
Easy
6min
Solve the equation $2\sec^2\left(x\right)-3\tan x=11$2sec2(x)−3tanx=11 for $0^\circ\le x\le360^\circ$0°≤x≤360°.
Round all values to the nearest degree.
Medium
8min
Solve the equation $\tan^2\left(x\right)+9=3\sec^2\left(x\right)$tan2(x)+9=3sec2(x) for $0\le x\le2\pi$0≤x≤2π.
Medium
6min
The intensity of light from a single source on a flat surface at some point is given by $I=k\cos^2\left(\theta\right)$I=kcos2(θ), where $k$k is a positive constant and $\theta$θ is the angle the light makes with the vertical.
Hard
1min
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