# Trig

 What is the equation for a graph of a trig function? y= K+A[function](Bx+C) What does K do? Vertical shift What does A do? Phase (horizontal) shift, negative numbers flip the graph What is the equation for the period of Sine/Cosecant and Cosine/Secant? 2π/B What is the equation for the phase shift of Sine/Cosecant, Cosine/Secant, and Tangent/Cotangent? -C/B What is the equation for the period of Tangent/Cotangent? π/B In what quadrants is the sin^-1(x) in? 1 and 4 In what quadrants is the cos^-1(x) in? 1 and 2 In what quadrants is the tan^-1(x) in? 1 and 4 What is the range and domain of sin^-1(x) Domain: (-1, 1)Range: (-π/2, π/2) What is the range and domain of cos^-1(x)? Domain: (-1, 1)Range: (0, π) What is the range and domain of tan^-1(x)? Domain: (-∞, ∞)Range: (-π/2, π/2) sec(x)= 1/cos(x) csc(x)= 1/sin(x) tan(x)= sin(x)/cos(x) cot(x)= cos(x)/sin(x) sin^2(x) + cos^2(x)= 1 1 + tan^2(x)= sec^2(x) 1 + cot^2(x)= csc^2(x) a^3 + b^3= (a + b) (a^2 - ab +b^2) a^3 - b^3 (a - b) (a^2 + ab +b^2) 1 radian= 180º/π Radian to Degrees multiply by 180º/π Degrees to Raidans multiply by π/180º In the formula for sine and cosine graphs, K means vertical shift In the formula for sine and cosine graphs, A means amplitude, negative amplitude moves the graph down and flips the graph on the x-axis In the formula for sine and cosine graphs, B is used to find the Period (2π/B) and Phase Shift (-C/B) In the formula for sine and cosine graphs, C is used to find the Phase Shift (-C/B) In a tangent graph formula, what is B used for? to find the period (π/B) and the phase shift (-C/B) What trig functions are only positive in the first quadrant? All trig functions What trig functions are only positive in the second quadrant? Sine and Cosecant What trig functions are only positive in the third quadrant? Tangent and Cotangent What trig functions are only positive in the fourth quadrant? Cosine and Secant Authortenorsextets ID39009 Card SetTrig Descriptiontrig functions and graphs Updated2010-10-06T07:08:56Z Show Answers