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Trigo
| Question | Answer |
|---|---|
| Sinx | Opposite/Hypotenuse |
| cosx | Adjacent/hypotenuse |
| tanx | opposite/adjacent |
| cosx/sinx | cotx |
| cscx | 1/sinx |
| Sec(90-x)= | cscx |
| Tan(pi+x) | Tanx |
| Cos(Pi+x) | -cosx |
| The terminal side of the angle -200 deg is in quadrant | quadrant II |
| The reference angle of the angle 420 is | 60 |
| Cos(150)= | -cos(30) |
| Coterminal angle of 400 is | 40 |
| (Tanx)^2+1= | (secx)^2 |
| 1-(cscx)^2= | -(cotx)^2 |
| The tangent of the angle at terminal at (-3,4) is | -4/3 |
| The amplitude of the function f(x)=-3-2sin(x) is | 2 |
| The period of the function g(x)=3cos(4x) is | pi/2 |
| The period of sin and cos functions is | 2pi |
| The period of the tan and cot functions is | pi |
| The function cosine is even or odd? | Even (cos(-x)=cos(x)) |
| The function tangent and sin are odd or even functions? | Odd that is sin(-x)=-sinx |
| The range of the the tangent function is | R |
| The range of the sin and cos functions is | [-1,1] |
| Sinx=3 has | no solution |
| cos=0.5 has | infinitely many solutions |
| cosx=cosy then | x=y+2kpi or x=-y+2kpi |
| sinx=siny then | x=y+2kpi or x=pi-y+2kpi |
| tanx=tany then | x=y+2kpi or x=pi+y+2kpi |
| Cos(A+B)= | CosACosB-SInASinB |
| Cos(2A)= | Cos^2(A)-Sin^2(A)=2cos^2(A)-1=1-2sin^2(A) |
| Sin(A+B)= | SinACosB+CosASinB |
| Sin(2A)= | 2SinACosA |
| Tan(A+B)= | (TanA+TanB)/(1-TanATanB) |
| Tan(2A)= | (2TanA)/(1-Tan^2(A)) |
| The range of the function f(x)=-3-2sin(x) is | [-5,-1] |
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