Trigonometry Examples

Solve for v sin(v)=sin((15pi)/14)
Step 1
For the two functions to be equal, the arguments of each must be equal.
Step 2
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Step 3
Simplify the expression to find the second solution.
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Step 3.1
Add to .
Step 3.2
The resulting angle of is positive and coterminal with .
Step 4
Find the period of .
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Step 4.1
The period of the function can be calculated using .
Step 4.2
Replace with in the formula for period.
Step 4.3
The absolute value is the distance between a number and zero. The distance between and is .
Step 4.4
Divide by .
Step 5
The period of the function is so values will repeat every radians in both directions.
, for any integer