Question

If
$\tan(thetha ) = \frac{3}{5}$
then
$\sec(thetha) = .......$

Answer 1

Hi there!
Here's the answer:

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¶¶¶ POINTS TO REMEMBER

• $Tan= \frac{Opppsite}{Adjacent}$

• $Sec = \frac{Hypotenuse}{Adjacent}$

• Pythagoras theorem :
(Hyp)² = Opp² + Adj²

• If all sides are known, expressing in terms of other trigonometric ratios is possible.

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SOLUTION :

Taking theta as a

Given,

$tan a = \frac{3}{5}$

=> Opp = 3 ; Adj = 5
• Find the other side I.e.., Hypothesis

=> Hyp² = 3² + 5²
=> Hyp² = 34
=> Hyp = √34

•°• Opp = 3 ; Adj = 5 ; Hyp = √34

• Find Sec a

$sec\: a = \frac{√34}{5}$

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Hope it helps