General Solutions | Solving Trigonometric Equations

A general solution is a solution put in a compact form involving an integer and generalizes by means of periodicity. Give learning a head start with these general solution of trigonometric equations worksheets featuring trig equations to be rewritten in different forms such as sin θ = 0, cos θ = 0 or tan θ = 0 and sin θ = sin x, cos θ = cos x and tan θ = tan x, find the general solutions using trig identities and appropriate formulas. Learn to simplify trig equations as well.

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Solving Trig Equations - Type 1

Rewrite the equations provided in these exercises in the form of sin θ = 0, cos θ = 0 or tan θ = 0. Obtain the general solution of the equation by using the appropriate formula.

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(3 Worksheets)

Solving Trig Equations - Type 2 (Level 1)

Modify the equation and write it in the form of sin θ = sin x, cos θ = cos x or tan θ = tan x. Apply the relevant formula and find the general solution.

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(3 Worksheets)

Solving Trig Equations - Type 2 (Level 2)

The trigonometric equations in these printable worksheets feature more than one trig function. Simplify the equation with the help of trigonometric identities and determine the general solution.

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(3 Worksheets)

Solving Trig Equations - Type 3

Simplify the trigonometric expressions by applying the trigonometric identities. Reduce it further to the form sin²θ = sin²x, cos²θ = cos²x or tan²θ = tan²x.

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(3 Worksheets)

Solving Trig Equations - Type 4

Solve each trigonometric equation by simplifying it to the form of a cos θ + b sin θ = c. Use the relevant formula to find the general solution of the equation. Validate your response with the answer key provided in each worksheet.

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(3 Worksheets)