Answer:
, ,
Step-by-step explanation:
The sine, cosine and tangent of a double angle are given by the following trigonometric identities:
According to the definition of sine function, the ratio is represented by:
Where:
- Opposite leg, dimensionless.
- Hypotenuse, dimensionless.
Since , measured in sexagesimal degrees, is in third quadrant, the following relation is known:
and .
Where is represented by the Pythagorean identity:
The magnitude of is found by means the Pythagorean expression:
Where is the adjacent leg, dimensionless.
If and , the value of is:
Then, the definitions for cosine and tangent of x are, respectively:
If , and , the values for each identity are, respectively:
and .
Now, the value for each double angle identity are obtained below: