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inverse Trigonometric Functions Example 04

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Inverse Trigonometric functions Example 04
Inverse Trigonometric functions Example 04

inverse Trigonometric Functions Example 04.
Question:
Find the value of ( \theta ) in degrees, given that ( \sin(\theta) = 0.6 ).

Solution:
Start with the equation ( \sin(\theta) = 0.6 ).
Take the inverse sine (also known as arcsine) of both sides to solve for ( \theta ):
[ \theta = \sin^{-1}(0.6) ]
Use a calculator to find the value of ( \sin^{-1}(0.6) ). Round your answer to the nearest degree.

Substitute the value of ( \theta ) back into the original equation to verify your solution:
[ \sin(\theta) = \sin(\sin^{-1}(0.6)) ]
[ \sin(\theta) = 0.6 ]
Write the final answer as ( \theta = ) [value you calculated in step 3] degrees.

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