Quiz 7 Solutions

Quiz 7 Solutions - Quiz 7 Math 115-007 November 5, 2009 1....

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Quiz 7 Math 115-007 November 5, 2009 1. (12 points) Given cos() = Name: ______________________ 1 (with in Quadrant I), find the following using the 3 appropriate double-angle or half-angle formula: 8 sin( ) = 3 sin( 1 1- )= 3 2 2 1- 2 1 8 cos( 2 ) = - 3 3 1 1+ cos( ) = 3 2 2 2 1 3 tan( ) = 1 2 1+ 3 1 8 sin( 2 ) = 2 3 3 2. (2 points each) Find the following trigonometric values using half-angle or sumand difference-identities. 3 1 - cos( ) 1- a. sin( ) = 6 = 2 12 2 2 5 ) 1- 4 = 5 1 + cos( ) 1+ 4 1 - cos( 2 2 2 2 1- 2 3 2 5 b. tan( )= 8 c. cos( 105 ) = 1 + cos(210 ) = 2 o o 3. (6 points) Using the identity sin cos = 1 [ sin( + ) + sin( - )] 2 a. Rewrite sin 12 o cos 9 o as the sum of two sines (you do not need to evaluate the final expression). 1 sin 12 cos 9 = [ sin(12 + 9) + sin(12 - 9)] 2 3 7 b. Evaluate sin( ) cos( ) 4 6 3 7 1 3 7 3 7 sin cos = sin( + ) + sin( - ) 4 6 2 4 6 4 6 ...
View Full Document

This note was uploaded on 03/04/2012 for the course MATH 115 taught by Professor Ms.park during the Fall '09 term at South Carolina.

Ask a homework question - tutors are online