Question

With the information given in the figure
(i) Write `sec theta` and `sec^(2) theta`.
(ii) Write `tan theta` and `tan^(2) theta`
(iii) Find `1+tan^(2) theta,` compare it with `sec^(2) theta` and write your conclusion.

Answer 1

Correct Answer - (i) `sec theta=(AC)/(BC),sec^(2) theta=(AC^(2))/(BC^(2))`
(i) `tan theta=(AB)/(BC),tan^(2) theta=(AB^(2))/(BC^(2))`
(iii) `1+tan^(2)theta=(AC^(2))/(BC^(2)),sec^(2)theta=1+tan^(2)theta`