When is sin 1

The inverse of the tangent function will yield values in the 1 st and 4 th quadrants. The same process is used to find the inverse functions for the remaining trigonometric functions--cotangent, secant and cosecant. Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.

Media outlet trademarks are owned by the respective media outlets and are not affiliated with Varsity Tutors. Varsity Tutors connects learners with experts. Instructors are independent contractors who tailor their services to each client, using their own style, methods and materials. Inverse Trigonometric Functions You've studied how the trigonometric functions sin x , cos x , and tan x can be used to find an unknown side length of a right triangle, if one side length and an angle measure are known.

Example 1: The base of a ladder is placed 3 feet away from a 10 -foot-high wall, so that the top of the ladder meets the top of the wall. In radians,. According to Taylor's Series, we know that. From this series, we can find out the value of Sin 1.

Thus, we can find out the value of Sin 1 from Taylor's Series. The angle, whose sine is 1, is the inverse function of sin 1. It is the highest value of the sine function.

The inverse sin of 1, i. Sin -1 x will give us the angle whose sine is x, which means the ratio of the perpendicular to the hypotenuse is x. So we have this rule that a function can only give one answer.

So, by chopping it off like that we get just one answer, but we should remember that there could be other answers. And here is the tangent function and inverse tangent. Can you see how they are mirror images about the diagonal? Hide Ads About Ads. And we want to know "d" the distance down. Example: Find the angle "a" We know The distance down is The cable's length is 30 m.