1. What basic trigonometric identity would you use to verify that
sin^2 x + cos^2 x/ cos x= sec x
2. Find sec x if tan^2 x= 1/2
1. Remember that sin^x + cos^x = 1
So
[ sin^x + cos^x] / cos x =
1 / cos x =
sec x ..... and this equals the right hand side
2. Remember that...... 1 + tan^2x = sec^2x .......so
1 + 1/2 = sec^2x
3/2 = sec^2x
[+/-] sqrt (3/2) = sec x
1. Since sin^2x + cos^2x=1, the fraction would be 1/cosx, which equals secx
