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Trigonometry

Proving Identities

We have been working on proving identities and it's a subject I just can't get my brain around. A few of the problems we've been given have made me stumble. cotx/1+tan(-x) + tanx/1+cot(-x) = cotx + tanx +1 I figure on this one, with using identities, I can get: cotx/1-tanx + tanx/1-cotx = cotx + tanx +1 But I can't g

Trigonometry : Graphs, Asymptotes and Phase Shifts (13 Problems)

1. If sin(alpha)=1/5 where alpha is in quadrant II, find the remaining five trigonometric functions of alpha. 2. Given that sin(alpha)= -2/3 and cos(alpha)= -root5/3>0, find the remaining four trigonometric functions. 3. Sketch a graph of y=3cos(2theta+pi) using either transformations or the "5 key points" method. Be

Solving Trigonometric Equations

Approximate the solution of the equation in the interval [0,2pi]. If possible find the exact solutions algebraically. (sin 2x + cos 2x)^2 = 1

Trigonometry Word Problems

From a boat sailing due north at 16.5 mph a wrecked ship K and an observation tower T are observed in a line due East. One hour later the bearings from the boat to K and T are S34(deg)East and S65(deg)East, respectively. Find the distance between K and T. keywords: bearings

Trigonometry Word Problems

A boat travels in a direction of N40(deg) E for 3 hours at 20 mph. How far North and how far East did the boat travel? keywords: bearings

Trigonometry Word Problems

1. A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 55(degrees). What is the distance between the piling and the p

Using Trigonometry Identities

What are different kinds of trig identities? Questions: 1. If sin x = -1/3, what is cosx? 2. Simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 3. Verify the identity cotx - tanx = (csc2x - sec2x)/sinxcosx

HOW FAR IS THE FIRE FROM B?

LOOKOUT STATION A is 15 km west of station B. THE BEARING FROM A TO A FIRE DIRECTLY SOUTH OF B IS 37 DEGREES AND 50'E. HOW FAR IS THE FIRE FROM B?

Cartesian coordinates

1. A boat sails at a constant speed in a straight line. its position at time S is (30S- 300,10S +500). in the water there are two buoys, A and B. at positions A- (7100,2800) and B - (125700,42500). a) write an expression in terms of S that is the square of the distance between the boat and buoy A at time S, simplify the answe

Trigonometry and Triangles Word Problems

Points A and B lie in a direct line on level ground to the west of a mountain which is known to be 1 mile high. The angle of elevation from point A to the mountain top is 4 degrees and the angle of elevation from point B to the mountain top is 6 degrees. Find the distance between points A and B.

Deriving trigonometric identities.

Use trigonometric identities to derive the following identities: a.) sin^2x+cos^2x=1 b.) sin2x=2sinxcosx c.) cos2x=cos^2x-sin^2x d.) cos2x=2cos^2x-1 e.) cos2x=1-2sin^2x

Limit of cosine using epsilon/delta definition

I am having difficulty using the epsilon/delta definition....even difficulty when not using it. There's a problem which reads as follows: find the limit as x approaches 0 of (cosx-1)/x^2. The main reason as to why I am having difficulty without using the epsilon/delta definition is because I simply am confused what to do when

Pythagorean Theorem

Find the side length x for a right triangle..when its sides are 7 and 11. Round to the nearest tenth

Important information about application of trigonometric functions in real life

As a group, work together to submit the answers to the following problems. Use the Small Group Discussion Board to divide tasks, discuss strategies for solving problems, and check each other's work. The finished product should be one combined document for the entire group, showing all calculations and graphical representations u