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Nina [5.8K]
3 years ago
5

How do I solve these equations

Mathematics
1 answer:
Sever21 [200]3 years ago
3 0
You need to know the properties of each function.
Tan is opposite (y) over adjacent (x).  Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3  so it is located in quadrant 1.
The side of the triangle must be Adjacent=3  opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is 
\sqrt{\frac{1+cos}{2} }
By following the formula, cos=3/5 then:
\sqrt{ \frac{1- \frac{3}{5} }{2} }    Multiply everything (inside the square          \sqrt{ \frac{5+3}{10} }                  root) by 5
\frac{2 \sqrt{2} }{ \sqrt{10} }
\frac{2 \sqrt{20} }{10}                Then just simplify
\frac{ \sqrt{20} }{5}      The answer is Square root of 20 over 5
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