Question

Tan square ( 45+theta/2)=4

Answer 1

Answer:

theta = 36.9, 143.1, 396.9, 503.1 (if limit for theta is upto 360 then 503.1 and 396.9 will be omitted)

Step-by-step explanation:

tan^(45 + theta/2) = 4

tan(45 + theta/2) = +- 2

base angle = tan^-1(2)

base angle = 63.4349

45 + theta /2 = 63.4349 , 180 - 63.4349, 180 + 63.4349, 360 - 63.4349

theta/2 = (63.4349 - 45), (180 - 63.4349 - 45), (180 + 63.4349 - 45), (360 - 63.4349-45)

theta  = (63.4349 - 45)*2, (180 - 63.4349 - 45)*2, (180 + 63.4349 - 45)*2, (360 - 63.4349-45)*2

therefore theta = 36.9, 143.1, 396.9, 503.1