(cos square 35 degree + cos square 55 degree / cosec square 15 degree - tan square 75 degree ) - Maths - Trigonometry

Question

​(cos square 35 degree + cos square 55 degree / cosec square
15 degree - tan square 75 degree ) + root 3 (tan 13 degree tan 23
degree tan 30 degree tan 67 degree tan 77 degree)

Lovina Kansal · Accepted Answer

Dear student
We have,cos235°+cos255°cosec215°-tan275°+3tan13° tan23° tan30° tan67° tan77°=cos290°-55°+cos255°cosec290°-75°-tan275°+3tan13° tan23° tan30° tan90°-23°tan90°-13°=sin255°+cos255°sec275°-tan275°+3tan13° tan23° tan30° cot23° cot13°=11+313=1+1=2
Regards

​(cos square 35 degree + cos square 55 degree / cosec square 15 degree - tan square 75 degree ) + root 3 (tan 13 degree . tan 23 degree . tan 30 degree . tan 67 degree . tan 77 degree)

(cos square 35 degree + cos square 55 degree / cosec square 15 degree - tan square 75 degree ) + root 3 (tan 13 degree . tan 23 degree . tan 30 degree . tan 67 degree . tan 77 degree)