Question

1. If cos A = 4/5 , then the value of tan A is
(A) 3/5 (B) ¾ (C) 4/3 (D) 5/3

Answer 1

Answer:

According to the question,

cos A = 4/5 …(1)

We know,

tan A = sinA/cosA

To find the value of sin A,

We have the equation,

sin2θ +cos2θ =1

So, sin θ = √ (1-cos2θ)

Then,

sin A = √ (1-cos2 A) …(2)

sin2 A = 1-cos2 A

sin A = √(1-cos2 A)

Substituting equation (1) in (2),

We get,

Sin A = √(1-(4/5)2)

= √(1-(16/25))

=√(9/25)

=3/5

tanA=3/5 × 5/4 = $\frac{3}{4\ }$

want to learn trignometry

1. If cos A = 4/5 , then the value of tan A is

(A) 3/5 (B) ¾ (C) 4/3 (D) 5/3

https://brainly.in/question/26614602

2. If sin A = ½ , then the value of cot A is

(A) √3 (B) 1/√3 (C) √3/2 (D) 1

https://brainly.in/question/26614602