Trigonometric Equations

Problem : Solve the following equation: sin(x)tan(x) = 0 .

Problem : Solve the following equation: cos(x) - tan²(x) = 1 .

Problem : Solve the following equation: sin²(x) - 1 = cos²(x) + 2 .

Problem : Solve the following equation: 2 sec(x)sin³(x) = cos(x)tan²(x) .

Solution for Problem 4 >>

Resolving everything into sines and cosines and then cancelling, we have sin(x) = . x = , .

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Problem : Solve the following equation: sin(x) + sin(x)cot²(x) = sec²(x) - tan²(x) .

Solution for Problem 5 >>

Factoring on the right side and the use of identities leads to the equations sin(x) = 1 . Therefore, x = .

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