Writing trigonometric functions as algebraic expressions.

Write sec(arcsinx) as an algebraic expression in x.

Writing trigonometric functions as algebraic expressions.

Write cos(arccosx + arctany) as an algebraic expression in x and y.

Roots of non singular matrix. Proof

Show that if lamda is a characteristic root of a non-singular matrix A, then lamda^-1 is a characteristic root of A^-1.

Using set theory to solve for the probability.

A survey of a group of military personnel revealed the following information: 95 officers 90 minorities 90 women 40 women officers 38 minority women 40 minority officers 23 women minority officers 16 caucasian male enlisted personnel How many personnel were: a. interviewed b. enlisted minority women c. male minorit ...continues

Finding inverse of the matrix, using Cayley-Hamilton theorem.

Find the inverse of the matrix using Cayley-Hamilton theorem. A= 2 -1 1 -1 2 -1 1 -1 2

Finding possible number combinations.

Find all the equations that add up to (-1) with a number set of (1)to(9) The answer has to fit into a rigid process. The process is as follows: 3,8,5,5,9,2 (5)+(-3)+(0)+(4)+(-7) this line is the increase or decrease between the number list. Increase is a positive integer and the negative is a decrease. Next solve regularl ...continues

Calculating the probability from a given situation.

Mr. X invites 15 relatives to a party: his mother, three uncles, two aunts, four brothers, and five cousins. If the chances of any one guest arriving first are equally likely, find the following probabilities: a. the first guest is an uncle or a cousin b. the first guest is a brother or a cousin c. the first guest is an un ...continues

Trigonometry

I need better clarification of the Angles in standard positions for Math 10 Pure.

Solving trigonometry problems with double-angle and half-angle formulas

Given tanx = 2 and the quadrant is 1. Identify sin2x, cos2x, and tan2x using the double-angle and half-angle formulas.

Calculating the percentage of a percentage.

What is 20% of 40% of 500?