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11 grade maths others

How do you find the exact value of sin(-90)?

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10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

To find the exact value of sin(-90 degrees), it's helpful to understand the properties of the sine function and the unit circle.

Understanding the Sine Function

The sine function is periodic and has specific values at key angles. One important aspect is that sine is an odd function, which means:

  • sin(-θ) = -sin(θ)

Calculating sin(-90)

Using the property of odd functions, we can calculate:

  • sin(-90) = -sin(90)

Now, we know that:

  • sin(90) = 1

Therefore:

  • sin(-90) = -1

Final Result

The exact value of sin(-90 degrees) is -1.

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