UNIT 7: Trigonometric Identities & Equations – SECTION 5 WORKSHEET #1 Date: _____ SOLVING TRIGONOMETRIC EQUATIONS Directions: Solve each trigonometric function for ALL POSSIBLE VALUES IN DEGREES .

EQUATION SOLVING: Example 1: Find all possible values of T so that 2 1 cosT . Solution: Sn S T 2 3 , Sn S T 2 3 5 , where n is an integer. Solution Method #1 – Graphically: There are an infinite number of solutions which are represented by the value of intersection points of the cosine curve and the constant function 2 1 y. y cosx 2 For 0dTd2S

Worksheet by Kuta Software LLC Math Analysis Honors Worksheet 102 - Solving Trigonometric Equations Name_____ Date_____ Period____ ©k U2[0u1S5n mKzumtIao AShosfktawyaNrue] wLELwCK.E H jASlxlv jr]iwgfhltbsF ZrJeBs`ejryv_eDdy.-1-Find all solutions to each equation in radians. 1) 3 2 = sinq2) cosq = 3 2 3) 0 = cosq

Worksheet 4: Trigonometric Equations Be sure to show all work that leads to your answers. No late papers will be accepted. 1.Find all solutions to the equation 2sinx+1 = 0 in the interval [0;2ˇ]. 2.Find all solutions to the equation 3cosx= 3 in the interval [0;2ˇ]. 3.Find all solutions to the equation 3sinx 4 = sinx 2 in the interval [0;2ˇ].

Solve each equation for all values of x over the interval [0,360°]. 1) 2 sin √x + 1 = 0 2) 2 sin 2 x – 1 = 0 3) 3 tan x + 1 = 0

5.3 Solving Trig Equations Practice Worksheet #1 Name: Pre-calculus Date: Solve for the unknown variable on the interval 0 x < 2m . COE 1- o sin x — Block: 6. 8. 4. cos x=cosx COs x sin x — 2sin x cosx = 2sin2 x— cos2 x = 0 o 7. csc2 x— cscx — sin x 11. sin — Solve for the unknown variable on the given interval. 10. cos(nx) = 0.5 on ...

Boost learning parameters with these printable solving trigonometric equation worksheets featuring myriad exercises to solve trig equations in linear and quadratic forms by factoring or by using quadratic formulas.

Solving Trig. Equations Solve each equation below. Be sure to show you work and circle your answer. 1. 2 sin x —1 = O 2. sin2 x = 2 sin x 3. csc2x—2 = O 4. 4sin2x—3 = 0 5. (MG tan x — l)(tanx— 3 0 (Hint: sin2 x + cos2 x = 1) 6. 2 sin2 x + 3 cosx —3 = t. Zsmx-l=O 2, 6MZx= sth2x- —O 3. csc2x- csc2x = 2 3COSX -3 -—0 2(l-cosZx ...

To solve equations containing trigonometric functions, you need to find the value of the angles that satisfy the equation. In these worksheets, given a set of values, students will solve trigonometric equations.

Worksheet by Kuta Software LLC Math Analysis Honors Worksheet 102B - Solving Trigonometric Equations Name_____ Date_____ Period____ ©` V2H0i1d5N PKkuptTab TS]oKfCtEwpaLr`ed cLNLuCa.\ [ DAmlVlf JrBikgMhvtLsu Ur`eIs]eHrivmeqdI.-1-Find all solutions to each equation in radians. 1) sinq = 3 2 2) 1 2 = cosq 3) sinq = 2 2