Posted by trista on Tuesday, February 24, 2009 at 6:48pm.
use the half angle formula to determine the exact values of sin, cos, and tan of the angle.
- precal - bobpursley, Tuesday, February 24, 2009 at 6:55pm
I will be happy to check your thinking on this.
- precal - trista, Tuesday, February 24, 2009 at 7:02pm
i honestly don't know what to do or how to start anyways
- precal - Reiny, Tuesday, February 24, 2009 at 8:37pm
the half-angle formulas let you split an angle in half
there is sin 2A = 2sinAcosA and
cos 2A = cos^2 A - sin^2 A or
cos 2A = 2cos^2 A - 1 or
cos 2A = 1 - 2sin^2 A
I will do the pi/12 angle for you.
pi/6 rads = 30 degrees, and pi/12 = 15 degrees
From the 30-60-90 triangle you should know
sin30 = 1/2 and cos30 = ?3/2
cos 30 = 1 - 2sin^2 15
2sin^2 15 = 1-?3/2
sin ^2 15 = 1/2 - ?3/4
so sin 15 = ?(2-?3)/2
or sin pi/12 = ?(2-?3)/2
now ;use the other version of cos 2A to get cos pi/12
and since tanx = sinx/cosx, divide the two results to get the tangent.
verify your answer with your calculator
for the first pi/8 is half of pi/4 which is 45 degrees
you should know the trig rations for 45 degrees.
Answer This Question
More Related Questions
- maths - Choose the two options which are true for all values of x 1) cos (x) = ...
- MATH - 1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL ...
- Pre calc - Use the half-angle formulas to determine the exact values of the sine...
- physics - The motion of a particle is described by x = 10 sin (piet +pie/2 ). At...
- Trig - Use the half angle formula to find the exact value of tan 7 pie/8
- Algebra II - Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)...
- calculus - Hi i have two questions: what is the exact value of cos 5(pie)/12? ...
- math - um take home test...i have no idea what im doing always sometimes never 1...
- math - evaluate the expressions below and leave them in radical form. 1. sin(pie...
- maths - Choose three options which are true: a) an angle of 150 degrees is ...