Prove that cosec (90+theta)+cot (450+theta)/cosec (90-theta)+tan (180-theta) +tan (180+theta)+sec (180-theta)/tan (360-theta)-sec(-theta)=2 - Maths - Trigonometric Functions

Question

Prove that cosec (90+theta)+cot (450+theta)/cosec (90-theta)+tan
(180-theta) +tan (180+theta)+sec (180-theta)/tan
(360-theta)-sec(-theta)=2

Neha Sethi · Accepted Answer

Dear student
The correct expression will be cosec90°+θ+cot450°+θcosec90°-θ+tan180°-θ+tan180°+θ+sec180°-θtan360°+θ-sec-θ
Solution:
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5b0269b3cab7e%20png"
style="width: 595px; height: 279px;">
Note:
sec(-x)=secx

Regards

Prove that. cosec (90+theta)+cot (450+theta)/cosec (90-theta)+tan (180-theta) +tan (180+theta)+sec (180-theta)/tan (360-theta)-sec(-theta)=2