Lesson HOW TO - Solve Trigonometric equations
Introduction The solution of trigonometric equations is one topic that students have particular problems with. There are a few reasons for this: 1. there is usually a simplify part first that requires use of some TRIG identities. 2. there is the use of RADIANS rather than degrees, for which some students are not at ease with. 3. there is the repetitive aspect of TRIG functions that students find bewildering. All in all, a potentially daunting topic. Solving the TRIG Equation Of the 3 topics listed above, I am concentrating on part 3, here in this Lesson. First thing, when solving a TRIG equation, is to understand or accept that each of SINE, COSINE and TANGENT have 2 angles that will satisfy the given equation within any 360 degree range. If we have multiples, such as cos(2x), then we also multiply up the possible number of solutions. sin(x) --> 2 solutions sin(2x) --> 4 solutions sin(3x) --> 6 solutions sin(4x) --> 8 solutions sin(5x) --> 10 solutions etc Look at the following lines: 1.
Related: Collection 1: MA301 Trigonometric Functions