SOLUTION: The problem is: Find the exact values of sine, cosine, and tangent of the angle; 105°=60°+45°
I don't get how to do it using the formulas, can you help me please?
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Question 444070: The problem is: Find the exact values of sine, cosine, and tangent of the angle; 105°=60°+45°
I don't get how to do it using the formulas, can you help me please?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Simply "plug in" the values into the formula. For example,
 = \sin(\alpha)\cos(\beta) + cos(\alpha)\sin(\beta))
Letting 
and 
,
 = \sin(60+45) = \sin(60)\cos(45) + \cos(60)\sin(45))
 = \frac{1}{2} \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{2} \frac{\sqrt{2}}{2})
 = \frac{\sqrt{2} + \sqrt{6}}{4})
You can try cos(105) and tan(105). Note that after you evaluate cos(105), you do not necessarily have to use the tangent addition formula to find tan(105) (unless you want to, for practice). Just use the definition of tangent:
 = \frac{\sin(105)}{\cos(105)})
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