Mathematics Homework Solutions

How does the graph of y=tan x show that the tangent of 90 degrees is undefined?

How does the graph of y=tan x show that the tangent of 90 degrees is undefined?

Applications of Trigonometry Word Problems : Tangent Function, Nautical Miles and Polar Coordinates of Nonagon Vertices

1. Consider the graph of y = tan x. (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? (d) How does the graph show this? 2. A nautical mile depend ...continues

Use trigonometric identities to solve the equation : cos^2x +2 sin x +1 = 0

103. Solve the equation cos^2x +2 sin x +1 = 0 for the domain 0

Right Triangle Trigonometry Application Word Problems : Airplane Flight Path

An airplane flies at a heading of 130° for 30 minutes and then changes to a heading of 220° and flies for 2 more hours. If the average speed of the plane is 250 miles per hour and the wind is negligible, find: a. The distance of the plane from the starting point. b. The heading the plane would have taken to get directly to ...continues

Graphing

(See attached file for full problem description) --- 1. Graph the system x^2 + y^2≤16 y≤4-x^2 2. Graph the solution { y<1/4x Bracket covers both entries but I don't know how to make it bigger. y≥ -2x+3 3. Show the graph of the systems of inequalities? 16x^2+64y ...continues

Consider the graph of y = tan x.

1. Consider the graph of y = tan x. (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? (d) How does the graph show this? 2. A nautical mile depends on l ...continues

Finding an angle of a right-triangle.

The sides of a right triangle are 4 and 12. How do I get the angle?

Conditional inequality in a triangle.

In a triangle ABC, Angles are given in a particular order. Each angle is an acute angle. A number M is defined as Cos(A-B)/2SinA/2SinB/2. Find the minimum value of M.

Trigonometry

A regular octagon is inscribed in a circle of radius 15.8 cm. Find the perimeter of the octagon.

Trigonometry

Solving problems such as find the lenght of L from point A to the top of the pole. (See attached file for full problem description with diagram) --- 1. Find the length L from point A to the top of the pole. 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E ...continues

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