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

Question

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

(ii) sec A = 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 = 4/3 for some angle θ .

Answer 1

1. False , the value if tan 60° = √3= 1.73
2. True, The value of sec A increase from 1 to ∞.
3. False, Cos A is the abbreviation used for the cosine of angle A
4. False, cot A is one symbol. We cannot separate it
5. False, The value of sin θ always lies between 0 and 0 and 4/3 > 1