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in Trigonometry by (65.5k points)

State whether the following are true or false. Justify your answer. 

(i) The value of tan A is always less than 1.

(ii) If sec A = \(\frac{12}{5}\)for some value of angle A.

(iii) cos A is the abbreviation used for the cosecant of angle A.

(iv) cot A is the product of cot and A.

(v) sin θ = for some angle θ

1 Answer

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by (65.2k points)
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Best answer

(i)  False. 60° = √3 > 1 

(ii)  True. because sec A = \(\frac{12}{5}\) > 1. 

(iii) False. Because cos A is simplified as cos. 

(iv) False. cot is ∠A or meaningless. 

Here, cot A = \(\frac{Adjacent \;side}{Opposite \;side}\)

(v) False. because sin θ 1

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