11 question in 8.1 class 10
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Q.11 State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1.
(ii) secA=125 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) sinθ=43 for some angle θ.
Sol. (i) False because sides of a right triangle may have any length, so tan A may have any value.
(ii) True as sec A is always greater than 1.
(iii) False as cos A is the abbreviation used for cosine A.
(iv) False as cot A is not the product of 'cot' and A. 'cot' separated from A has no meaning.
(v) False as sinθ cannot be > 1.
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