Question

if 3 cot a is equal to 4 then the value of sec a will be
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Answer 1

Answer:

cot equal to 4/3..

then sec equal to √22/4...

Step-by-step explanation:

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Answer 2

$\sec A$ = $\dfrac{5}{4}$

Step-by-step explanation:

Given,

$3\cot A=4$

To find, the value of $\sec A$ = ?

∴ $3\cot A=4$

Dividing both sides by 3, we get

$\cot A=\dfrac{4}{3}$

We know that,

$\cot A=\dfrac{4}{3}=\dfrac{b}{p}$

∴ Base, b = 4 and perpendicular, p = 3

By pythagoras theorem,

Hypotenuse, h = $\sqrt{p^{2}+b^{2}}$

$=\sqrt{3^{2}+4^{2}}=\sqrt{9+16} =\sqrt{25}$

= 5

∴ $\sec A$ = $\dfrac{h}{b} =\dfrac{5}{4}$

Thus, $\sec A$ = $\dfrac{5}{4}$