Question

Sintheta -costheta+1/sintheta+costheta-1

Answer 1

Step-by-step explanation:

sina-cosa+1/sina+cosa-1

devide by cosa in each term

tana-1+seca/tana+1-seca

={(tana+seca)-1}(tana-seca)/(tana-seca+1)(tana-seca)

=tan²a-sec²a-tana+seca/(tana-seca+1)(tana-seca)

=-1-tana+seca/(tana-seca+1)(tana-seca)

=-1/tana-seca

=1/seca-tana

=seca+tana/sec²a-tan²a

=seca+tana

=(1+sina)/cosa