Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

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 = 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.

(i) False because tanα = perpendicular/base and perpendicular and base could be 5, 12 which leads to tanα = 5/12 (ii)True because sec A is the reciprocal of cos A, and the cos A is always between -1 and 1, this implies that sec A cannot be between -1 and 1, so 12/5 is possible (iii) False because cos A is the abbreviation of cosine A (iv) false because cot A is a single term not the product of cot and A (v) False because the maximum value of sin α = 1 (sin90 = 1), therefore it cannot exceed 1.