Trigonometry Examples

Solve for x sin(20)+cos(x)=0
Step 1
Evaluate .
Step 2
Subtract from both sides of the equation.
Step 3
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Step 4
Simplify the right side.
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Step 4.1
Evaluate .
Step 5
The cosine function is negative in the second and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the third quadrant.
Step 6
Subtract from .
Step 7
Find the period of .
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Step 7.1
The period of the function can be calculated using .
Step 7.2
Replace with in the formula for period.
Step 7.3
The absolute value is the distance between a number and zero. The distance between and is .
Step 7.4
Divide by .
Step 8
The period of the function is so values will repeat every degrees in both directions.
, for any integer