Question

Evaluate       6 7 arc sin sin

Answer 1

Answer:

Take the inverse sine of both sides of the equation to extract x from inside the sine.

x = arcsin (6/7)

Evaluate arcsin(6/7)

x = 1.0296968

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

x = (3.14159265) − 1.0296968

Step-by-step explanation:

Simplify the expression to find the second solution.

x = 2.11189585

Find the period.

2π

The period of the sin(x)function is 2π so values will repeat every 2π radians in both directions.

x = 1.0296968 + 2πn,2.11189585 + 2πn, for any integer

n

Explanation

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