SEAMO 2027 - Paper F - SET 03 - Self-study Question 12
SEAMO · SEAMO 2027 - Paper F - SET 03 - Self-study
Which expression equals $\tan6\alpha$?
Compare the expressions as identities on their common domain: every tangent and denominator used must be defined.
$\dfrac{6\tan\alpha-20\tan^3\alpha+6\tan^5\alpha}{1-15\tan^2\alpha+15\tan^4\alpha-\tan^6\alpha}$
$\dfrac{6\sin\alpha-20\tan^3\alpha+6\cos^5\alpha}{1-15\sin^2\alpha+15\cos^4\alpha+\tan^6\alpha}$
$\dfrac{6\cos\alpha-20\tan^3\alpha+6\sin^5\alpha}{1-\cos^2\alpha+15\sin^4\alpha+\tan^6\alpha}$
$\dfrac{6\tan\alpha-15\tan^3\alpha+6\tan^5\alpha}{1-20\tan^2\alpha+20\tan^4\alpha-\tan^6\alpha}$
None of the above