Question

5. If cos A = 4/5, then tan A = ? (A) 3/5 (B) 3/4 (C) 4/3 (D) 4/5

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• cos A = 4/5

To find :

• tan A = ?

Solution :

cos A = 4/5

We know ,

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

Here ,

• Base = 4
• Hypotenuse = 5

Now, find the height .

Apply ' Pythagoras Theorem ' :-

Height ² + Base² = Hypotenuse²

→ Height ² + 4² = 5²

→ Height ² + 16 = 25

→ Height ² = 25 - 16

→ Height ² = 9

→ Height = √9

→ Height = 3

We know,

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

tan A = Height/ Base

→tan A = 3/ 4

Therefore, option (B) 3/4 is correct.