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Simplify tan(sin^{-1}(x))

This question aims to simplify a trigonometric expression. In mathematics, trigonometric functions (also called circular functions, angle functions, or trigonometric functions) are fundamental functions that relate angle of a right triangle to the ratios of two side lengths. They are widely used in all geometry-related sciences, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among […]

Segment BC is Tangent to Circle A at Point B. What is the length of segment BC?

Figure 1 Read moreChoose the point on the terminal side of -210°.In this question, we have to find the length of line segment BC which is tangent at a point A to the circle with the center at point B. The basic concept behind this question is the sound knowledge of trigonometry, the equation of a circle, the […]

Describe in words the surface whose equation is given as:

– $ phi space = space frac {pi}{3}$ The main objective of this question is to visualize the given equation. Read moreChoose the point on the terminal side of -210°.This question uses the concept of visualizing the given equation by comparing it to the equations of the standard shapes along with the concept of the […]