Question

If A=60° find
the vale of sec A​

Answer 1

Answer:

A= 60°

secA=sec60°= 2

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Answer 2

Step-by-step explanation:

the figure, draw the perpendicular line AD from A to the side BC

Now △ ABD≅ △ACD

So, BD=DC and also

∠ BAD=∠ CAD

It is observed that the triangle ABD is a right triangle, right angled at D with

∠ BAD=30° and∠ABD=60°

To find the trigonometric ratios, we need to know the lengths of the sides of the triangle. So, let us assume that AB=2a

BD = BC/2 = a

To find the value of cos 60°, it becomes

Cos θ = Adjacent Side / Hypotenuse Side

Cos 60°=Adjacent Side/Hypotenuse Side =BD/AB

Cos 60° = a/2a = ½

We know that secant function is the inverse function of the cosine function, it becomes

Sec 60° = 1/cos 60°

Sec 60° = 1/(½) = 2

Therefore, the value of sec 60 = 2

Sec 60°= 2

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