Given that tan^2 theta=3/8,what is the value of sec theta?

The value of SecФ is   .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф =

Or, tanФ =

∵ tanФ =

So,   =  

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( )² + ( )²

Or,  Hypotenuse² = 3 + 8 = 11

Or,  Hypotenuse = ( )

Now SecФ =

or, SecФ = =

Second Method

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 +  tan²Ф

or, Sec²Ф = 1 +  

Or, Sec²Ф =

Or,  SecФ =

Hence The value of SecФ is   . Answer

mr. graef told us it is 13 pints

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