How do you verify the identity $csc2theta=1/2secthetacsctheta$ ?

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Answer 1 · 2016-12-07T09:03:48

change to sines and simplify.

$csc2x=1/(sin2x)$

providing $sin2x!=0$

$csc2x=1/(sin2x)$

$=1/(2sinxcosx)$

$=1/2xx1/(sinx)xx1/cosx$

$=1/2xx(cscx)xxsecx$

$=1/2secxcscx$

How do you verify the identity csc2theta=1/2secthetacscthetacsc2theta=1/2secthetacsctheta?