Sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,−4) is on the terminal side of θ. Then find the values of the six trigonometric functions for the angle. Rationalize denominators if applicable. Do not use a calculator.
Trigonometric Identities
Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.
Inverse Trigonometric Functions
Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.
Sketch an
in standard position such that
has the least possible positive measure, and the point
is on the terminal side of
Then find the values of the six trigonometric
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