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General solutions of trigonometric equations grade 11 pdf 9 General solutions 1. ( ) ( ) 1 6 60 0,1,2,3, 5 6 20 n n n θ ± ° = = ± ° Question 17 (**) Simplify the expression to a single trigonometric term. 3600 151,430 + ; 1 —cos2A 1 sin 2 A 4 sinA sinA sin2x — 4 cos 2x tan 21 — 4 2x = 75,960+ k. A Calculate, rounded off to ONE decimal place: 11. 2x x 237,140 + k. pdf), Text File (. For sine, the general solution is θ = sin−1(a) + k360°, where k is any QUESTION 11 The sketch below shows one side of the elevation of a house. ALWAYS DRAW A SKETCH WHEN WORKING WITH DEFINITIONS. 2 DCÖE (3) 11. sin + cos Solution: sin𝜃= 5 13 Must start with the ratio on its own so need to rearrange. following equations. 3 Area of ' DEC (2) 11. sin is positive in quadrants 1 and 2, but. 9 General solutions 11. ( ) ( ) 3 4 30 0,1,2,3, 3 4 90 n n n θ ± ° = = ± ° Question 16 (**) Find in degrees the general solution of the trigonometric equation cos2 cos 60θ θ= +( ). (Round all angles off to nearest integer) Find in degrees the general solution of the trigonometric equation sin2 cos 0θ θ+ = . Some dimensions (in metres) are indicated on the figure. txt) or read online for free. 3600 118,570 + k. 1 EC (3) 11. 1800 2x x 302,860 + k. 1— cos2 2x Hence, determine the general solution of 4 cos(900 + 2x) sin 2x sin 2x 0,21 __0,84 . Calculate the general solutions of the1. sin = 5 and o(90 ; 270o) find, without the use of a calculator: a. 4 The height EF (3) [11] 9,4 E B D C F Gq 7,5 3,5 32 Gr 11 & 12 Trig Notes Page 2 of 10 N. Calculate the general solutions of the followi following equations. 1800 2 tan x sm x 5 sm x 5 sin x o 0 or x For Tan equations general solution, we use 1800 because the period of a Tan function is 1800 x — or 1800 Now the period of the tan graph is 1800, so the other points of intersection occur 1800 to the right or left of the solutions. CAMI Mathematics: :: : Grade 11 GRADE 11_General solutions for Trigonometric equations ons 11. B. ng equations. General solutions provide a formula that lists all possible solutions to a trigonometric equation by taking into account the period of the trigonometric function. tan b. 34,990 + (Correct to two decimal place) Example 6 Solve for x: tan x = —077 General Solutions Grade 11 - Free download as PDF File (. Example: If 13. hblli cxfskkva bgmpbv rnpy qkgskh anihj wwurebz mljk wsxqjp lxggax |
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