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  • State whether the following are true or false. Justify your answer. The value of tan A is always less than 1.

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

              (i) The value of \tan A is always less than 1.
              (ii) \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 \Theta =\frac{4}{3}  for some angle \Theta .

Answers (1)

best_answer

(i) False, 
because \tan 60 = \sqrt{3}, which is greater than 1

(ii) TRue,
because \sec A \geq 1

(iii) False, 
Because \cos A abbreviation is used for cosine A.

(iv) False,
because the term \cot A is a single term, not a product.

(v) False,
because \sin \theta lies between (-1 to +1) [-1\leq \sin \theta\leq 1]
 

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