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kg90
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sin-1(-1/2)
Can someone explain how to do this problem by hand. Thanks.
Can someone explain how to do this problem by hand. Thanks.
kg90 said:sin-1(-1/2)
Can someone explain how to do this problem by hand. Thanks.
NoMoreExams said:Think about which quadrant you are working in and where sine, cosine, etc. are positive/negative?
kg90 said:Hey thanks for replying. I do know how to do most problems like this. I just don't know how you get the negative answer for the problem I posted above. I always end up with a positive.
NoMoreExams said:Yes, and therefore on the interval [0, 2pi), there will be 2 answers.
To calculate sin-1(-1/2) by hand, you will need to use the inverse sine function or arcsine function. This function is typically denoted as sin-1 or arcsin and is the inverse of the sine function. It is used to find the angle in radians that has a given sine value. In this case, we want to find the angle whose sine is -1/2.
The formula for calculating sin-1(-1/2) is sin-1(-1/2) = -π/6 + 2πn, where n is any integer. This formula can be derived from the unit circle, where the sine of -π/6 is equal to -1/2.
To calculate sin-1(-1/2) by hand, follow these steps:
Yes, most scientific calculators have a built-in inverse sine function, denoted as sin-1 or arcsin. You can simply enter -1/2 into the calculator and press the sin-1 or arcsin button to get the result.
Knowing how to calculate sin-1(-1/2) by hand is important because it allows you to understand the concept of inverse trigonometric functions and their applications. It also helps you to verify the results obtained from a calculator and improves your problem-solving skills in mathematics and science.