Trigonometry Examples

$\sin (17) m = \sin (51) \cdot 40$

Step 1

For the two functions to be equal, the arguments of each must be equal.

$17 = 51$

Step 2

Since $17 \neq 51$ , there are no solutions.

No solution

Step 3

The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from $180$ to find the solution in the second quadrant.

$17 = 180 - 51$

Step 4

Solve for $m$ .

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Step 4.1

Subtract $51$ from $180$ .

$17 = 129$

Step 4.2

Since $17 \neq 129$ , there are no solutions.

No solution