Practice – Trigonometric Ratios

Questions :

Question 1

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For the above right triangle ABC, write the following trigonometric ratios:

(a)

sin A = ? sin C = ?

cos A = ? cos C = ?

tan A = ? tan C = ?

csc A = ? csc C = ?

sec A = ? sec C = ?

cot A = ? cot C = ?

Question 2

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For the above right triangle ABC, write the following trigonometric ratios:

sin A = ? sin C = ?

cos A = ? cos C = ?

tan A = ? tan C = ?

Question 3

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For the above right triangle ABC, write the following trigonometric ratios:

sin B = ? sin C = ?

cos B = ? cos C = ?

tan B = ? tan C = ?

Explanations :

Question 1

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Remember: SOH CAH TOA

(a)

sin A = 3/5 (Opposite/Hypotenuse)

cos A = 4/5 (Adjacent/Hypotenuse)

tan A = 3/5 (Opposite/Adjacent)

csc A = 5/3 (1/sinA)

sec A = 5/4 ( 1/ cosA)

cot A = 5/3 (1/tanA)

(b)

sin C = 4/5 (Opposite/Hypotenuse)

cos C = 3/5 (Adjacent/Hypotenuse)

tan C = 4/3 (Opposite/Adjacent)

csc C = 5/4 (1/sinA)

sec C = 5/3 ( 1/ cosA)

cot C = 3/4 (1/tanA)