Geometry
# Fundamental Trigonometric Identities

If \( \tan \theta = \frac{ 2}{7} \), what is the value of

\[ \frac{ \cos \theta + 3 \sin \theta } { \cos \theta - 3 \sin \theta}? \]

**Details and assumptions**

You may read up on Trigonometric Functions.

If

\[ \sum_{i=0} ^ {90} \cos ^2 i ^ \circ = \frac {a}{b}, \]

where \(a\) and \(b\) are positive coprime integers what is the value of \(a+b\)?

What is the value of:

\( \left(1-\frac{1}{\cos 72 ^\circ}\right)\left(1+\frac{1}{\sin 18 ^\circ}\right)\left(1-\frac{1}{\sin 72 ^\circ}\right)\left(1+\frac{1}{\cos 18 ^\circ}\right)? \)

×

Problem Loading...

Note Loading...

Set Loading...