Trigonometry Problems - sin, cos, tan, cot: Difficult Problems with Solutions

Problem 1
Solve the trigonometric equation: [tex]tan3x={\frac{1}{tan2x}}[/tex].
Problem 2
Prove the trigonometric identity: [tex]tan4\alpha-{\frac{1}{cos4\alpha}}={\frac{sin2\alpha-cos2\alpha}{sin2\alpha+cos2\alpha}}[/tex]
Problem 3
Solve the trigonometric equation: [tex]sin^2x+cos2x={\frac{1}{4}}[/tex]
Problem 4
[tex]sin5x=cos7x[/tex]
Problem 5
Solve the equation [tex]\cos^2x+\sin x={\frac{5}{4}}[/tex]
Problem 6
Solve the trigonometric equation:
[tex]sin^2+3sin x cos x+7cos^2x=6[/tex]
Problem 7
Solve the trigonometric equation
[tex]sin3x cos x=sin7x cos5x[/tex].
Problem 8
Solve the trigonometric equation: [tex]3cos x+2\sqrt{3sin x}={\frac{9}{2}}[/tex].
Problem 9
Solve the trigonometric equation: [tex]sin(x)cos(x)cos(2x)={\frac{1}{8}}[/tex].
Problem 10
Solve the trigonometric equation: [tex]sin^4x+cos^4x={\frac{5}{8}}[/tex].

Problem 11
Solve [tex]sin x-cos x=0[/tex].
Problem 12
Solve the trigonometric equation: [tex]sin x+cos x=\sqrt{2}sin5x[/tex].
Problem 13
Solve the equation: [tex]sin3x=cos2x[/tex].
Submit a problem on this page.

Correct:
Wrong:
Unsolved problems:
Contact email:
Follow us on   Twitter   Facebook

Copyright © 2005 - 2020.