Homework Help: Algebra II

Posted by Lucy on Saturday, April 19, 2008 at 4:17pm.

1) Find the exact value of cos 105 degrees by using a half-angle formula.

2)Find the solution of sin 2theta = cos theta if 0 degrees</= theta < 180 degrees.

I have read the book and looked at the examples, but cannot figure out how to work these. Any help would be great!!

Thanks

Algebra II - Damon, Saturday, April 19, 2008 at 7:09pm
1)
105 * 2 = 210 is a nice angle, 180 + 30

2)
2 sin t cos t = cos t
2 sin t = 1
sin t = 1/2
t = 30 degrees or pi/6 radians

the other solution t = 150 degrees is no good because the cos t would be negative

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