### 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 […]

### Find the largest area of an isosceles triangle inscribed in a circle of radius 3.

The aim of the question is to find the largest area of the triangle enclosed by the circle of radius of 3. The basic concept is the Equation of the Circle, which is defined as: Read moreChoose the point on the terminal side of -210°.[x^2+y^2=p^2] To solve this question, first we have to find 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 […]

### What is 10∠ 30 + 10∠ 30? Answer in polar form. Note that the angle is measured in degrees here.

This question aims to split the given polar form into cartesian coordinate form. This question uses the concept of splitting the given polar form into its cartesian coordinate form. Cartesian coordinate form is the sum of the squared values of the difference between the x coordinate and the y coordinate of the two specified points and […]