(a) By using truth tables, check whether the propositions ¬(p ^ q) and ¬p v q are logically equivalent or not? (b) If for a right-angle triangle, for the acute angle 8, sin e = 12 13 then, find the values for cos e & tan e and show that - sin2 0 + cos2 e = 1 and sec2 e – tan2 0 = 1 (c) Find the value of the constant a, for which, the following function f(x) is continuous (/1+ax – V1 – ax ; -1
(a) By using truth tables, check whether the propositions ¬(p ^ q) and ¬p v q are logically equivalent or not? (b) If for a right-angle triangle, for the acute angle 8, sin e = 12 13 then, find the values for cos e & tan e and show that - sin2 0 + cos2 e = 1 and sec2 e – tan2 0 = 1 (c) Find the value of the constant a, for which, the following function f(x) is continuous (/1+ax – V1 – ax ; -1
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...
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