Which of the following functions is equal to sin(180°–θ)?–sin(
Question
Which of the following functions is equal to sin(180°–θ)?–sin(
Solution
The function that is equal to sin(180°–θ) is -sin(θ).
Here's the step by step explanation:
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The sine function has a property called "symmetry" which means that sin(180°–θ) = sin(θ). This is because the sine function is positive in the first and second quadrants of the unit circle (0° to 180°).
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However, the negative sign in front of the sin(θ) flips the value of the sine function. This means that -sin(θ) is equivalent to sin(180°–θ).
So, sin(180°–θ) = -sin(θ).
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