Sign up to access problem solutions.

Already have an account? Log in here.

These formulas explain how to add and subtract trigonometric functions (and their arguments). If you've got sum time, see what a difference these formulas will make for your trig toolkit.

\[\large \sin^{6}(\theta)+\cos^{6}(\theta)=\sin(2\theta) = \ ? \]

If the above equation is true, then what is the value of \(\sin(2\theta)\)? **Give your answer to 3 decimal places.**

Sign up to access problem solutions.

Already have an account? Log in here.

\[\Large\log_{\frac12}{\left(\displaystyle\prod_{n=1}^{45}\sin{(2n-1)}^{\circ}\right)}=\ ?\]

Sign up to access problem solutions.

Already have an account? Log in here.

\[ \tan \left [ \tan^{-1}\left(\frac12\right)+\tan^{-1}\left(\frac29\right)+\tan^{-1}\left(\frac18\right)+\tan^{-1}\left(\frac2{25}\right)+\tan^{-1}\left(\frac1{18}\right)+\ldots \right] \]

What is the value of the expression above?

Sign up to access problem solutions.

Already have an account? Log in here.

\[ \left(\sec^{2}10^{\circ}+\tan 10^{\circ}\right)\left(\sec^{2} 50^{\circ} - \tan 50^{\circ}\right)\left(\sec^{2} 70^{\circ}+\tan 70^{\circ}\right)\]

The value of the expression above can be represented in the form \(\dfrac{a-\sqrt{b}}{b}\) where \(a\) and \(b\) are positive coprime integers. Find the value of \(a+b^2\).

Sign up to access problem solutions.

Already have an account? Log in here.

\[\large \displaystyle\prod_{r=1}^{44} (\cot (r^\circ) - 1)\]

This product equals \(2^{k}.\) Find \(k.\)

Sign up to access problem solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...