Question

[Note: i did these wrong apparently.. :( ]

Simplify the trigonometry expressions as much as possible.

(a). tan^(2)xsecx+secx

(b).(csct-sint)/(csct)

Answer 1

tan^(2)xsecx+secx
= secx( tan^2 x + 1) , common factor
= secx(sec^2 x), by identity
= sec^3 x

(csct-sint)/(csct)
= (1/sint - sint)/(1/sint)
multiply top and bottom by sint

= (1 - sin^2 t)/1
= cos^2 t

Answer 2

Thank you so much!