Question

if 3sec theta=5 then find cos theta and tan theta​

Answer 1

Answer :

• cosθ = 3/5
• tanθ = 4/3

Given :

• 3secθ = 5

To Find :

• cosθ and tanθ

Solution :

→ 3secθ = 5

→ secθ = 5/3

As we know that

• secθ = H/B

Where

• H = 5
• B = 3

H² = P² + B² [ Pythagoras theorem ]

Put the values in the formula

→ (5)² = (P)² + (3)²

→ 25 = P² + 9

→ 25 - 9 = P²

→ P² = 16

→ P = 4

Now

• cosθ = B/H = 3/5
• tanθ = P/B = 4/3

Extra Shots :

• sinθ = P/H
• cosθ = B/H
• tanθ = P/B
• cosecθ = H/P
• secθ = H/B
• cotθ = B/P

Where :

• H = hypotenuse
• P = perpendicular
• B = base

Answer 2

Answer:

5/3

Step-by-step explanation: