Question

If cos A = 4/5 then the value of tan A is
(A)3/5
(B)3/4
(C)4/3
(D)5/3

Answer 1

Answer:

the answer of this question is 3 by 4

Answer 2

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☞ Option B is your Answer

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✭ cos A = $\sf\dfrac{4}{5}$

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◈ Value tan A?

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We know that,

$\underline{\boxed{\sf{cos\:A=\dfrac{Base}{Hypotenuse}}}}$

$\bullet\: \underline{\textsf{As Per the Question}}$

◕ Base = 4

◕ Hypotenuse = 5

Finding the Height,

Height ² + Base² = Hypotenuse²

➝ $\sf Height ^2+ 4^2 = 5^2$

➝ $\sf Height^2 + 16 = 25$

➝ $\sf Height^2 = 25 - 16$

➝ $\sf Height^2= 9$

➝ $\sf Height = \sqrt{9}$

➝ $\sf\orange{Height = 3}$

We know that,

$\underline{\boxed{\sf{tan\:A=\dfrac{Height}{Base}}}}$

Substituting the given values,

»» $\sf tan A = \dfrac{Height}{Base}$

»» $\sf\red{ tan A = \dfrac{3}{4}}$

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