Simplifying Trigonometric Expressions

Find the quotient of 75(cos62degree+ jsin62degee)/15(cos215degree+jsin215degree)

Simplifying Logarithmic Expressions

Find the value of log852+log28.7/log8-log17.2

Solving Logarithmic Equations

Solve ln(3x+8) +ln(x-5)=1.86 for x

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 ...continues

Solving Triangles : Law of Sines

Use the law of sines to solve the triangle. If two solutions exist find both. A = 110 degrees, a= 125, b= 200

Triangle word problem using bearings

A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.

Solving Triangles

Find all possible solutions for triangle ABC if A=55 degrees, a=12, and c=13

Navigation, bearings of the laps.

A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 meters. Draw a diagram that visually represents the problem, and find the bearings fo ...continues

Integrals : Mean Value

Please see the attached file for the fully formatted problems. keywords: integration, integrates, integrals, integrating, double, triple, multiple

Displacement of a Body

Mechanical System - Displacement of a Body. See attached file for full problem description.