Question

State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than (ii)secA=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????=4/3 for some angle ????.

Answer 1

Answer:

i)true

ii)false

iii)false

iv)true

v)false

Answer 2

False; True; False; False; False

Step-by-step explanation:

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

Tan 45 is 1. Many values of A have Tan greater than 1. So statement is not true.

(ii) Sec A = 12/5 for value of angle A. - True.

 Sec A = Hypotenuse / Adjacent = 12 / 5. As hypotenuse is larger than adjacent, statement is true.

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

Cos A is short for Cosine, not Cosecant.

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

Cot A is short for Cotangent A, not product of Cot and A.

(v) sin A = 4/3 for some angle A - False.

Sin A = Opposite / Hypotenuse. Hypotenuse is always the longest side. So statement is False.