Question

tan²45+sec²60_cot²30+cosec²30​

Answer 1

tan 45 = 1

sec 60 = 1/cos 60 = 2

cot 30 = tan 30 = √3

cosec 30 = 1/sin 30 = 2

substituting values :

(1)² + (2)² - (√3)² + (2)²

= 1+ 4 - 3 + 4

= 6

Answer 2

tan²45°+sec²60-cot²30°+cosec ²30°

= (1)²+(2)²-(√3)²+(2)²

[tan45°=1,sec60°=2,cot30°=√3,cosec 30° =2]

= 1+4-3+4

= 5-3+4

= 2+4

= 6

More information :-

WE KNOW THAT SIN IS OPPOSITE OF COSEC,

COS IS OPPOSITE OF SEC , TAN IS OPPOSITE

OF COT.

Trigonometric ratio:-

The ratio of the three sides of a right triangle to the side of ‌6 types is found to be called trigonometric ratio.