Trig Functions

• Sec(x) = 1/cos(x)
• cosec(x) = 1/sin(x)
• cot(x) = 1/tan(x) = cos(x)/sin(x)
• Sin^2(x) + Cos^2(x) = 1
• Tan^2(x) + 1 = sec^2(x)
• 1 + cot^2(x) = cosec^2(x)
• cos(A+B) = cos(a)*cos(b)-sin(a)*sin(b)
• cos(A-B) = cos(a)*cos(b)+sin(a)*sin(b)
• sin(A+B) = sin(a)*cos(b)+cos(a)*sin(b)
• sin(A-B) = sin(a)cos(b)-cos(a)sin(b)
• sec^2x = 1 + tan^2x
• d/dx(secx) = secx tanx
• d/dx (cosec x) = -cosecx cot(x)
• d/dx (cot x) = -cosec^2x
• d/dx(e^kx) = ke^kx
• d/dx(a^kx) = a^kx lna^k
• d/dx(sinkx) = kcoskx
• d/dx(coskx) = -ksinkx
• d/dx(tankx) = ksec^2 kx
• Chain Rule = dy/du x du/dx
• Chain rule is used for composite functions
• The product Rule: dy/dx = u x dv/dx + v x du/dx
• Product rule is used for two functions that are multiplied together