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With the information given in the figure...

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.

Text Solution

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The correct Answer is:
(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`
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