SOLUTION: for sinA +cosAcotA=cscA a.Show that the equation is true whenA=30 degrees. use exact values b.prove the equation algebraically c.state any restrictions to the equation

Question 30138: for sinA +cosAcotA=cscA
a.Show that the equation is true whenA=30 degrees. use exact values
b.prove the equation algebraically
c.state any restrictions to the equation
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
For part a; to do this first switch your calculator into radians mode and then calculate:
sin(30)+cos(30)(cos[30]/sin[30])=1/sin(30)
-0.988+(0.154)(-0.156)=1.01
1.01=1.01

For part b put the equation into simplier steps:
--> deal with the left side:

Multiply the SinA by SinA to get a common denomenator:

Use Pathagorean identity:

L.S. = R.S and Hence, proven:
Paul.
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