Question

If cos A=4/5,
then find tan A = ?​

Answer 1

Step-by-step explanation:

cos A = 4/5

cos A = B/H

Let, B = 4 and H = 5

By using Pythagoreas theorem:

H2 = B2 + P2

P2 = H2 - B2

P2 = (5)2 - (4)2

P2 = 25 - 16

P2 = 9

P = 3 cm

Now,

tan A = P/B

tan A = 3/4 cm

Answer 2

Given »

• Cos A = 4/5

To find «

• Tan A

Solution ★

If ,

CosA=4/5 then,

sSnA=√(1−cos2A)

{Because sin^2A+cos^2A=1}

=> SinA=√(1−16/25)

=> SinA=√(9/25)

=> SinA=3/5

Now as tanA=sinA/cosA

=> TanA=3/5×5/4 {Because 1/cosA=5/4}

=> TanA=3/4

Ans = 3/4