Question

If tan A=3/4, then find other trignometric ratios of angle A

Answer 1

Answer :-

• 3/5, 4/5, 5/3, 5/4, 4/3.

Given :-

• tanA = 3/4

To Find :-

• Other trigonometric ratios of angle A.

Solution :-

Here

• tanA = 3/4 (P/B)

As we know that

• H² = P² + B²

Now

⇒ H² = (3)² + (4)²

⇒ H² = 9 + 16

⇒ H² = 25

⇒ H = 5

Let's find other trigonometric ratios

• sinA = P/H = 3/5
• cosA = B/H = 4/5
• cosecA = H/P = 5/3
• secA = H/P = 5/4
• cotA = B/P = 4/3

Where

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