Question

If tanA = 5/12 then cosA=​

Answer 1

Answer:

cosa=12/13

perpendicular =5

base=12

hypotenuse =13

Answer 2

Given:

• TanA = 5/12

To find:

• CosA?

Solution:

• Let's consider ABC is a triangle.

Where,

• Perpendicular = 5
• Base = 12

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« Now, By using Pythagoras Theorem,

→ (Hypotenus)² = (Perpendicular)² + (Base)²

→ (h)² = (5)² + (12)²

→ (h)² = 25 + 144

→ h² = 169

→ √h² = √169

→ h = 13

∴ Hence, Hypotenuse is 13 units.

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« Let's find Cos A,

We know that,

• Cos = Base/hyp

Here,

• Base = 12
• Hyp = 13

Therefore,

→ CosA = 12/13

∴ Hence, Cos A = 12/13.

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More to know:

• Trigonometric Identities
• sin²θ + cos²θ = 1
• sec²θ - tan²θ = 1
• csc²θ - cot²θ = 1
• Trigonometric relations
• sinθ = 1/cscθ
• cosθ = 1 /secθ
• tanθ = 1/cotθ
• tanθ = sinθ/cosθ
• cotθ = cosθ/sinθ
• Trigonometric ratios
• sinθ = opp/hyp
• cosθ = adj/hyp
• tanθ = opp/adj
• cotθ = adj/opp
• cscθ = hyp/opp
• secθ = hyp/adj