(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.
NCERT Class 10 Chapter 8 Introduction to Trigonometry
Exercise 8.1
Question No. 11
Page No. 181
(i) False,
Because, tan A = (Opposite of angle A)/(Adjecent side of angle A), if opposite side > adjacent side, then value of tan A is greater than 1.
(ii) True,
Because, sec A = (Hypotenuse)/(Adjecent side of angle A) and we know that hypotenuse is always greater than adjacent side.
(iii) False,
Because, cos A is used for cosine of angle A.
(iv) False,
Because, cot A is used for cotangent of angle A.
(v) False,
Because, sin 0 = (Opposite side of angle A)/(Hypotenuse), we know that hypotenuse is always greater than opposite side.
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