Question
Without using the calculator, determine: tan 675∘
Answers
Answered by
GPT 3.5
Since the tangent function has a period of 180 degrees, we can find the equivalent angle less than or equal to 360 degrees.
675 degrees is equivalent to 675 - 3(180) = 675 - 540 = 135 degrees.
The tangent of 135 degrees is equal to the tangent of (180 - 135) = 45 degrees.
The tangent of 45 degrees is equal to 1.
Therefore, tan 675 degrees is equal to 1.
675 degrees is equivalent to 675 - 3(180) = 675 - 540 = 135 degrees.
The tangent of 135 degrees is equal to the tangent of (180 - 135) = 45 degrees.
The tangent of 45 degrees is equal to 1.
Therefore, tan 675 degrees is equal to 1.
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