Trigonometry Answers

Find the course and distance from a position 37⁰ 01’ N 9⁰ 00’W to a position 36⁰ 11’N
6⁰ 02’W.

Marion needs to find the cosine of Pi over 12. If she knows that cos Pi over 6 = root 3 over 2, how can she use this fact to find the cosine of Pi over 12? What is her answer. Please explain and show your work

Determine the values of sin(2a), cos(2a) and tan(2a) , given cos(a) = -4/5 and Pi over 2 ≤ 0 ≤ Pi

Determine the values of sin(2a) and tan(2a), given tan(a) = -7/24 and Pi over 2 ≤ 0 ≤ Pi

Use a double angle formula to rewrite each trigonometric ratio

a) sin (4a)
b) cos (6a)
c) tan (5a)

Express each of the following as a single trigonometric ratio, and then evaluate

Use double angle formula

a) 2 sin pi over 12 cos Pi over 12
b) 2 sin 45 degree cos 45 degree
c) 2 tan 60 degree cos^2 60 degree

Express each of the following as single trigonometric ratio

Use double angle formula

a) 2 sin 5x cos 5x
b) cos^2 0 - sin ^2 0
c) 1- 2 sin^2 3x
d) 2 tan 4x / 1-tan^2 4x

Simplify the following expression

Cos ( x+ Pi over 3) - sin ( x + Pi over 6 )

If sinx = 4/5 and siny= -12/13 , 0<x<Pi over 2, 3pi over 2 < y < 2pi, evaluate

a) cos (x+y)
b) tan (x-y)

Use the appropriate compound angle formula to create an equivalent expression

a) cos ( x+3pi over 2 )
b) sin ( pi + x )