Question

For which value of actue angle of tita. cos tita/ 1- sin tita+ cos tita/1+sin tita=4 is true.​

Answer 1

Answer:

60°

Step-by-step explanation:

tita= A

[ cosA/(1-sinA)] + [cosA/(1+sinA)]=4

=> [cosA(1+sinA +1 - sinA)]/(1-sin^2 A) =4

using identity sin^2 b+cos^b=1,

=> cosA(2)/cos^2 A=4

=> 2/cosA =4

=> cosA= 1/2

=> cosA = cos60°

=> A= 60°