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07. Trig Equations

From the DfE Mathematics AS and A-Level Content (LINK):

Basic Trigonometric Equations

E7-00 [Trig Equations: Introduction to this Section]

E7-01 [Trig Equations: Solve sin(x) = 1/2 between 0 and 360 degrees]

E7-02 Trig Equations: Solve sin(x) = 1/2 between 0 and 2π

E7-03 [Trig Equations: Solve cos(x) = 1/2 between 0 and 360 degrees]

E7-04 Trig Equations: Solve cos(x) = 1/2 between 0 and 2π

E7-05 [Trig Equations: Solve tan(x) = 1 between 0 and 360 degrees]

E7-06 Trig Equations: Solve tan(x) = 1 between 0 and 2π

E7-07 [Trig Equations: Solving Basic Trigonometric Equations in degrees]

E7-08 Trig Equations: Solving Basic Trigonometric Equations in radians

E7-09 [Trig Equations: Solve 1/cos(x) = 5 between 0 and 360 degrees]

E7-10 [Trig Equations: Solve 1/cos(x) = 5 between 360 and 720 degrees]

E7-11 Trig Equations: Solve 1/cos(x) = 5 between 0 and 2π

E7-12 Trig Equations: Solve 1/cos(x) = 5 between 2π and 4π

E7-13 [Trig Equations: Solve sin^2(x) = 1/16 between 0 and 360 degrees]

E7-14 Trig Equations: Solve sin^2(x) = 1/16 between 0 and 2π

Quadratic Trigonometric Equations

E7-15 [Trig Equations: Solve 4x^2 = x]

E7-16 [Trig Equations: Solve 4sin^2(x) = sin(x) between 0 and 360 degrees]

E7-17 Trig Equations: Solve 4sin^2(x) = sin(x) between 0 and 2π

Using tan(x) = sin(x) / cos(x)

E7-18 [Trig Equations: Solve 4sin(x) + 5cos(x) = 0 between 0 and 360 degrees]

E7-19 Trig Equations: Solve 4sin(x) + 5cos(x) = 0 between 0 and 2π

Trigonometric Equations with Transformations

E7-20 [Trig Equations: Solving Equations that Involve Transformations]

E7-21 [Trig Equations: Solve sin(x + 65) = 0.7 between 0 and 360 degrees]

E7-22 Trig Equations: Solve sin(x + π/3) = 0.7 between 0 and 2π

E7-23 [Trig Equations: Solve cos(x - 35) = -0.3 between 0 and 360 degrees]

E7-24 Trig Equations: Solve cos(x - π/4) = -0.3 between 0 and 2π

E7-25 [Trig Equations: Solve tan(x + 280) = 4.1 between 0 and 360 degrees]

E7-26 Trig Equations: Solve tan(x + 3π) = 4.1 between 0 and 2π

E7-27 [Trig Equations: Solve sin(2x) = 0.8 between 0 and 360 degrees]

E7-28 Trig Equations: Solve sin(2x) = 0.8 between 0 and 2π

E7-29 [Trig Equations: Solve cos(3x) = 0.7 between 0 and 360 degrees]

E7-30 Trig Equations: Solve cos(3x) = 0.7 between 0 and 2π

E7-31 [Trig Equations: Solve tan(4x) = 3.3 between 0 and 360 degrees]

E7-32 Trig Equations: Solve tan(4x) = 3.3 between 0 and 2π

E7-33 [Trig Equations: Solve sin(3x-54) = 0.25 between 180 and 540 degrees]

E7-34 Trig Equations: Solve sin(3x-0.8) = 0.25 between π and 3π

More Quadratic Trigonometric Equations

E7-35 [Trig Equations: Solve sin^2(x) + 2sin(x) - 3 = 0, 0-360 degrees]

E7-36 Trig Equations: Solve sin^2(x) + 2sin(x) - 3 = 0 between 0 and 2π

E7-37 [Trig Equations: Solve 5tan^2(x) - 38tan(x) - 16 = 0, 0-360 degrees]

E7-38 Trig Equations: Solve 5tan^2(x) - 38tan(x) - 16 = 0 between 0 and 2π

Using sin^2 (x) + cos^2 (x) = 1

E7-39 [Trig Equations: Solve 3sin^2(x) = 3 - 2cos(x) between 0 and 360 degrees]

E7-40 Trig Equations: Solve 3sin^2(x) = 3 - 2cos(x) between 0 and 2π

E7-41 [Trig Equations: Solve 3sin(x) = 2cos^2(x) between 0 and 360 degrees]

E7-42 Trig Equations: Solve 3sin(x) = 2cos^2(x) between 0 and 2π

E7-43 [Trig Equations: Solve 7sin^2(x) - 5sin(x) + cos^2(x) = 0, 0-360 degrees]

E7-44 Trig Equations: Solve 7sin^2(x) - 5sin(x) + cos^2(x) = 0 between 0 and 2π

sin(x) and cos(x) as Transformations of one another

E7-45 [Trig Equations: Things to Remember about y = sin(x) and y = cos(x)]

E7-46 [Trig Equations: Solve cos(x + 60) = sin(x) between 0 and 360 degrees]

E7-47 Trig Equations: Solve cos(x + π/3) = sin(x) between 0 and 2π

E7-48 [Trig Equations: Solve sin(x - 35) = cos(x) between 0 and 360 degrees]

E7-49 Trig Equations: Solve sin(x - π/7) = cos(x) between 0 and 2π

Solving with cosec(x), sec(x) and cot(x)

E7-50 Trig Equations: Solve cosec(x) = 5 between 0 and 2π

E7-51 Trig Equations: Solve sec(x) = 7 between 0 and 2π

E7-52 Trig Equations: Solve cot(x) = 1/6 between 0 and 2π

E7-53 Trig Equations: Solve sec^2(x) = 4 + 2tan(x) between 0 and 2π

E7-54 Trig Equations: Solve cosec^2(x) = 3cot(x) + 5 between 0 and 2π

E7-55 Trig Equations: Solve sec(x) = tan(x) between 0 and 2π

E7-56 Trig Equations: Solve sin(x) = cot(x) between 0 and 2π

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