Question

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle

Answer 1

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.

Trigonometric ratios Corresponding sides ratio

cos B ------------------------------------ C/B

tan C ------------------------------------ B/A

sin B ------------------------------------- B/C

tan B ------------------------------------- C/A

Solution :-

we know that,

• sin θ = Perpendicular/Hypotenuse
• cos θ = Base/Hypotenuse
• tan θ = Perpendicular/Base
• cosec θ = Hypotenuse/Perpendicular
• sec θ = Hypotenuse/Base
• cot θ = Base/Perpendicular
• Also , Perpendicular is opposite sides to θ .

so,

→ cos B = Base/Hypotenuse = C / A .

→ tan C = Perpendicular/Base = C / B .

→ sin B = Perpendicular/Hypotenuse = B / A .

→ tan B = Perpendicular/Base = B / C .

therefore, correct match of trigonometric ratios with the corresponding ratios of the sides of the triangle will be :-

Trigonometric ratios Corresponding sides ratio

cos B ------------------------------------ C/A .

tan C ------------------------------------ C/B .

sin B ------------------------------------- B/A .

tan B ------------------------------------- B/C .

Learn more :-

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