{"id":11690,"date":"2022-08-14T02:00:49","date_gmt":"2022-08-13T20:30:49","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11690"},"modified":"2022-08-14T02:02:06","modified_gmt":"2022-08-13T20:32:06","slug":"state-whether-the-following-are-true-or-false-justify-the-answer","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/state-whether-the-following-are-true-or-false-justify-the-answer\/","title":{"rendered":"State whether the following are true or false. Justify the answer."},"content":{"rendered":"
Question :<\/h2>\n
State whether the following are true or false. Justify the answer.<\/p>\n
(i)<\/strong>\u00a0 The value of tan A is always less than 1.<\/p>\n
(ii)<\/strong>\u00a0 sec A = \\(12\\over 5\\) for some values of angle A.<\/p>\n
(iii)<\/strong>\u00a0 cos A is the abbreviation used for the cosecant of angle A.<\/p>\n
(iv)<\/strong>\u00a0 cot A is the product of cot and A<\/p>\n
(v)<\/strong>\u00a0 \\(sin \\theta\\) = \\(4\\over 3\\) for some angle \\(\\theta\\).<\/p>\n
Solution :<\/h2>\n
(i)<\/strong>\u00a0 False<\/strong> because the sides of a right triangle may have any length, so tan A may have any value.<\/p>\n
(ii)<\/strong>\u00a0 True<\/strong> as sec A is always greater than or equal to 1.<\/p>\n
(iii)<\/strong>\u00a0 False<\/strong> as cos A is the abbreviation used for cosine A.<\/p>\n
(iv)<\/strong>\u00a0 False<\/strong> as cot A is not the product of cot and A.<\/p>\n
(v)<\/strong> False<\/strong> as \\(sin \\theta\\) cannot be greater than 1.<\/p>\n","protected":false},"excerpt":{"rendered":"
Question : State whether the following are true or false. Justify the answer. (i)\u00a0 The value of tan A is always less than 1. (ii)\u00a0 sec A = \\(12\\over 5\\) for some values of angle A. (iii)\u00a0 cos A is the abbreviation used for the cosecant of angle A. (iv)\u00a0 cot A is the product …<\/p>\n