Posted by Amir on Monday, January 23, 2012 at 1:39pm.
please help
(sinA/1+cosA)+(1+cosA/sinA) = 2cscA?
Work on LHS
sinA/(1+cosA)+(1+cosA)/sinA
=[sin^2A + (1 + cosA)^2]/[sinA(1 + cosA)]
=[sin^2A + 1 + 2cosA + cos^2A]/[sinA(1 + cosA)]
=[(sin^2A + cos^2A) + 1 + 2cosA]/[sinA(1 + cosA)]
=[1 + 1 + 2cosA]/[sinA(1 + cosA)]
=[2 + 2cosA]/[sinA(1 + cosA)]
=[2(1 + cosA)]/[sinA(1 + cosA)]
=2/sinA
=2(1/sinA)
=2cscA
Related Questions
Maths - Hi, can someone give me the answer to this question: secA-tanA=1/4. Find...
trig - Prove : (sinA-cosA+1)/(sinA+cosA-1) = (1+sinA)/cosA
trig - Please help me how to do this: 1) 1 + sina*cosa / (cosa + sina)^2 = 2) ...
maths(trigonometry) - prove that sinA-cosA+1/sinA+cosA-1=1/secA-tanA
trig - Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
trig - Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
Math - If 1-cosA=5/13, prove that 25sinA(sinA - cosA)
mathematics trignometry - prove that the following are identity 1. (cotA+cosecA-...
Math - Find angle A if it is greater than or equal to 0 degrees and smaller than...
trig - How to do this one? (sina/1-cosa) + (1-cosa/sina) = Also, wanted to ask ...
For Further Reading
