Answer:
The exact value of and
Step-by-step explanation:
Consider the Special right angle triangle as shown in the attachment.
The ratio of its sides are as shown in figure. The smallest side, opposite the angle, is 1. The side opposite the angle is . The longest side, i.e the hypotenuse is 2.
Therefore, any triangle of will have its side in their ratios.
To find the exact value of .
By definition;
From the figure and by definition of sine:
Therefore, the exact value of .
Now, to find the exact value of
For this , we have special right angle triangle, as shown in the attachment.
The ratio of its sides are .
By definition of tangent,
From the figure, we have
Therefore, the exact value of