Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Solve the equation secθ=2\sec \theta = 2secθ=2 for 0<θ<2π0<\theta<2\pi0<θ<2π.
Solve cotx=3\cot x=\sqrt3cotx=3 for 0<x<π0< x<\pi0<x<π.
Solve cscx=−2\csc x = -\sqrt2cscx=−2 for 0≤x<2π0\le x<2\pi0≤x<2π.
Solve 4secx−1=04\sec x-1=04secx−1=0 for 0≤x<2π0\le x<2\pi0≤x<2π.
Solve 2secx=42\sec x=42secx=4 for 0≤x<2π0\le x<2\pi0≤x<2π.
Solve 3csc(2x)=−33\csc(2x)=-\sqrt33csc(2x)=−3 for 0≤x<π0\le x<\pi0≤x<π.
Solve csc(2x−π3)=2\csc\bigl(2x-\tfrac{\pi}{3}\bigr)=2csc(2x−3π)=2 for 0≤x<π0\le x<\pi0≤x<π.
Solve sec(3x)=63\sec(3x)=\tfrac{6}{\sqrt3}sec(3x)=36 for 0<x<π20<x<\tfrac{\pi}{2}0<x<2π.
Solve cot(x2)=−1\cot\bigl(\tfrac{x}{2}\bigr)=-1cot(2x)=−1 for 0<x<2π0<x<2\pi0<x<2π.
Solve the equation sec2x=4\sec^2 x=4sec2x=4 for 0<x<2π0<x<2\pi0<x<2π.
Solve 2cotx+3=02\cot x+\sqrt3=02cotx+3=0 for 0<x<π0<x<\pi0<x<π.
Solve csc(3x+π4)=−2\csc\bigl(3x+\tfrac{\pi}{4}\bigr)=-2csc(3x+4π)=−2 for 0≤x<π0\le x<\pi0≤x<π.
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Question Type 2: Solving more difficult trigonometric equations using reciprocal functions