CscAsecA-cotA??

2 Answers
Apr 4, 2018

This simplifies to #tanA#.

Explanation:

We start by rewriting in sine and cosine:

#= 1/sinA(1/cosA) - cosA/sinA#

#= 1/(sinAcosA) - cosA/sinA#

#= 1/(sinAcosA) - cos^2A/(sinAcosA)#

#= (1 -cos^2A)/(sinAcosA)#

#=sin^2A/(sinAcosA)#

#= sinA/cosA#

#=tanA#

Hopefully this helps!

Apr 4, 2018

#tanA#

Explanation:

#cscAsecA-cotA#

#1/sinA*1/cosA-cosA/sinA#

#1/(sinAcosA)-cosA/sinA#

#1/(sinAcosA)-cosA/sinA(cosA/cosA)#

#1/(sinAcosA)-cos^2A/(sinAcosA)#

#(1-cos^2A)/(sinAcosA)#

From the pythagorean identities, we know that #1-cos^2A = sin^2A#.
#sin^2A/(sinAcosA)#

#sinA/cosA#

#tanA#

Hope this helps!