Sine, Cosine, and Tangent : Simplifying (x+450)

Why can (x+450) be simplified by cosine and sin, but not tan?

Vectors

1. Find the component form of the vector representing the velocity of a boat traveling at 8 knots, or nautical miles per hour, with a bearing of N 53-degrees W. 2. A force of 703 pounds is needed to push a stalled car up a hill inclined at an angle of 16-degrees to the horizontal. Find the weight of the car. Ignore fric ...continues

Ellipses and Parabolas

1. Find the equation of the parabola with vertex at the origin, that passes through the point (-6,4) and opens upward. X=1/9y^2 Y=-1/9x^2 X=-1/9y^2 Y=1/9x^2 2. Find the equation for the parabola with the given vertex that passes through the given point: vertex: (-5,5) point: (-3,17) y=3/16(x-5)^2+5 y=11/ ...continues

Quotient Identity and Pythagorean Identity

Prove the identities. A) TANa + 1 = 1 ------ ------------ TANa SINa COSa B) TANa-1= SIN^2a - COS^2a ------------------------ SINa COSa + COS^2a

Applications of Trigonometry Word Problems

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. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per sec ...continues

Tangents, Nautical Miles and Polar Coordinates of a Nonagon

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

Ellipses, Hyperbolas and Parabolas : Vertices, Foci, Polar and Parametric Form and Eccentricity

1.Determine the vertices and foci of the graph of x^2 y^2 ---- - ---- = 1. 16 35 As an example. Answer should look like (0, +-4/9) Veertices ...continues

Trigonometry Problems

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. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per sec ...continues

Problem Set

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

Trigonometry Application Word Problems : Tan Function, Nautical Miles and Polar Coordinates of Nonagons

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