Answer:
This is the single fraction of -3*sqrt(13)+4*sqrt(3) up top all over 20.
sqrt = square root
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Explanation:
Angle theta is between pi and 3pi/2. This places the angle in quadrant Q3 where both cosine and sine are negative
Use the pythagorean trig identity to get the following:
Angle beta is in Q1 where sine and cosine are positive.
Draw a right triangle with legs 3 and 4. The hypotenuse is 5 through the pythagorean theorem. In other words, we have a 3-4-5 right triangle.
Since , this means
Use these ideas:
- sin = opposite/hypotenuse
- cos = adjacent/hypotenuse
- tan = opposite/adjacent
In this case we have: opposite = 3, adjacent = 4, hypotenuse = 5.
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To recap:
They lead to this
