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If an angle decreases from 60 degrees to 30 degrees the trigonometric function that decreases is the sine?
Yes, the sine decreases, and so does the tangent.
What angles are used to relate the values returned by inverse trigonometric functions to angles larger than 90 degrees?
When using inverse trigonometric functions to relate values to angles larger than 90 degrees, we typically use reference angles. Reference angles are acute angles formed between the terminal side of the angle in question and the x-axis. By using reference angles, we can determine the appropriate quadrant and sign for the angle, allowing us to accurately relate the values returned by inverse trigonometric functions to angles greater than 90 degrees.
Why do trigonometric ratios do not depend on the size of the right triangle?
Because a right angle will always measure 90 degrees no matter what the dimensions of the triangle are.
What is the use of complement and supplement angle degrees minutes seconds used for?
There are two main uses. One is, in a complicated shape, to find the measure of an unknown angle using known values of other angles. The other is that trigonometric ratios are related to their supplement angles. Also, the sine of an angle is related to the cosine of of its complement.
Which basic trigonometric identity is actually a statement of the pythagorean theorem?
COS squared Theta + SIN squared Theta = 1; where Theta is the angles measurement in degrees.
