Identify a repeating pattern in the graph
Find two consecutive matching points on the pattern
Measure the horizontal distance between them
Use the same x-values where the...
Identify the known side lengths or angle in the right triangle
Use sine if you know opposite and hypotenuse: sin(θ) = opposite / hypotenuse
Use cosine...
Identify the angle in standard position
Determine the quadrant of the terminal side
Use the appropriate reference-angle formula:
Quadrant I: reference angle = θ
Quadrant II: reference angle...
Identify the base trig function: sine, cosine, tangent, cotangent, secant, or cosecant
Use the standard period:
Sine: (2pi)
Cosine: (2pi)
Tangent: (pi)
Cotangent: (pi)
Secant: (2pi)
Cosecant: (2pi)
For (f(x)=asin(bx+c)), (f(x)=acos(bx+c)), (f(x)=asec(bx+c)),...
Use special right triangles: 45°-45°-90° and 30°-60°-90°
Memorize exact trig values for common angles: 0°, 30°, 45°, 60°, 90°
Use the unit circle to read exact...
In a right triangle, use cos(θ) = adjacent / hypotenuse
On the unit circle, cos(θ) is the x-coordinate
Use a calculator and enter cos(θ)
Use the cosine...
Identify the observer’s eye level and the object being viewed
Draw a horizontal line from the observer’s eye level
Draw a line of sight from the...
Use the Pythagorean theorem to find a missing side if needed: (a^2 + b^2 = c^2)
Use sine: (sin(theta) = frac{text{opposite}}{text{hypotenuse}})
Use cosine: (cos(theta) = frac{text{adjacent}}{text{hypotenuse}})
Use...
Identify the trigonometric value and the function involved: sin, cos, tan, csc, sec, or cot
Rewrite the problem in inverse form: arcsin, arccos, arctan, arccsc,...
Identify the trigonometric function you need to invert: sine, cosine, tangent, cosecant, secant, or cotangent
Use the corresponding inverse notation: arcsin, arccos, arctan, arccsc, arcsec,...
Identify the angle
Choose the correct right triangle or unit circle value
Use the formula: sin(θ) = opposite / hypotenuse
Measure the opposite side to the angle
Measure...
Identify the reference waveform and the shifted waveform
Measure the horizontal distance between corresponding points on the two waveforms
Determine the period of the waveform
Compute phase...
Identify the trig function type: sine, cosine, tangent, cotangent, secant, or cosecant
Use the base period:
Sine and cosine: (2pi)
Tangent and cotangent: (pi)
Secant and cosecant: (2pi)
If...
Identify actions, thoughts, or attitudes that go against moral, ethical, or religious standards
Compare behavior with the rules or teachings of your faith or belief...
Identify the right triangle
Choose the angle you are using
Label the hypotenuse, opposite side, and adjacent side
Use SOH for sine: sin(angle) = opposite / hypotenuse
Use...
Use a right triangle
Identify the angle you want
Find the opposite side length
Find the adjacent side length
Divide opposite by adjacent
Write tan(angle) = opposite / adjacent
Use...
Use the appropriate formula for the given shape or situation
For a right triangle, use trigonometric ratios: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse,...
Identify the reference waveform and the shifted waveform
Compare the same point on each wave, such as a peak, trough, or zero crossing
Measure the horizontal...
Coterminal angles are angles that share the same terminal side
Add or subtract 360° to find coterminal angles in degrees
Add or subtract 2Ï€ to find...
Use sine when the angle is opposite over hypotenuse: sin(θ) = opposite / hypotenuse
Use cosine when the angle is adjacent over hypotenuse: cos(θ) =...
