345 Views
PROVE :(secA+tanA)2 =(1+sinA)/(1/sinA)
PROVE :(secA+tanA)2 =(1+sinA)/(1/sinA)
Answer
[tex]A=x\\\\(secx+tanx)^2=\frac{1+sinx}{1-sinx}\\\\L=\left(\frac{1}{cosx}+\frac{sinx}{cosx}
ight)^2=\left(\frac{1+sinx}{cosx}
ight)^2=\frac{(1+sinx)^2}{cos^2x}\\\\=\frac{(1+sinx)^2}{1-sin^2x}=\frac{(1+sinx)^2}{1^2-sin^2x}=\frac{(1+sinx)^2}{(1-sinx)(1+sinx)}=\frac{1+sinx}{1-sinx}=R[/tex]
To see more answers head over to College Study Guides
Virtual Teaching Assistant: John B.
Question Level: Basic
Karma: Free
Upload Date: 5/31/2017
This 6 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 345 views.