Question

Substitute 0 =0°, 30°, 45°, 60° and 90° in the equation costeta÷ 1-sin teta+cos teta÷1+sin teta=4

For which value of teta the above equation is defined or not defined?​

Answer 1

Step-by-step explanation:

costeta÷ 1-sin teta+cos teta÷1+sin teta

=costeta/(1-sinteta) +costeta/(1+sintets)

=costeta((1+sinteta) +(1-sintets))/(1-sin^2teta)

=costeta(2)/cos^2teta

=2secteta

if teta=0 2secteta =2sec0=2(1)=2

if tteta30 2secteta =2sec30=2(2/root3)=4/root3

if teta=45 2secteta =2sec45=2(root2)=2root2

if teta=60 2secteta =2sec60=2(2)=4

if teta=90 2secteta =2sec90=2(infinity)=infinity