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mathdad
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How do I determine which trig value is bigger or smaller without using a calculator?
Sample:
Which is bigger: cos 2 or sin 2?
Sample:
Which is bigger: cos 2 or sin 2?
RTCNTC said:Angle 2 radians in degrees is 114.6°. We are in quadrant 2.
In quadrant 2, cosine is negative and sine is positive.
So, can I conclude by saying that sin 2 > cos 2?
The biggest trig value is infinity. This is because the trigonometric functions (sine, cosine, tangent) can approach infinity as the input value approaches certain values.
The biggest value for sine is 1. This occurs when the angle is 90 degrees (π/2 radians).
The biggest value for cosine is 1. This occurs when the angle is 0 degrees (0 radians).
The biggest value for tangent is infinity. This occurs when the angle is 90 degrees (π/2 radians).
This is because the trigonometric functions are defined as ratios of lengths in a triangle, and as the angle approaches certain values, the ratio of the sides becomes infinitely large.