Question
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 6.
Solution
(i) False, since 
and perpendicular may be longer than base.
(ii) True, since ![<pre>uncaught exception: <b>file_put_contents(/home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/web/../../../../../../formulas/35/96/ec5690fd6e7cbf9b256641ccf1bd.ini): failed to open stream: Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/sys/io/File.class.php at line #12file_put_contents(/home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/web/../../../../../../formulas/35/96/ec5690fd6e7cbf9b256641ccf1bd.ini): failed to open stream: Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/sys/io/File.class.php line 12<br />#0 [internal function]: _hx_error_handler(2, 'file_put_conten...', '/home/config_ad...', 12, Array)
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and hypotenuse being the longest side may be times the base.
(iii) False, since cos A is the abbreviation used for the cosine of angle A.
(iv) False, since cot A is used as an abbreviation for 'the cotangent of the angle A'.
(v) False, since the hypotenuse is the longest side in a right triangle. As such the value of sin A is always less than 1 (or, in particular equal to 1).
