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Home > Calculus calculators
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1. Trigonometry
1. Simplifying trigonometric expressions,
eg. (1) `sin(30)*cos(60)+sin(30)*cos(60)`, (2) `tan(x)+cot(x)`, (3) `tan^2(x)-sin^2(x)`, (4) `csc(x)/cos(x)-cos(x)/sin(x)`
1.2 Proving trigonometric identities,
eg. (1) `sin(30)*cos(45)*tan(60)=sin(45)*cos(60)*cot(30)`, (2) `sin^2(50)+sin^2(40)=1`
2.1 If `sin(x)=1/2`, then find value of other five trigonometric functions
2.2 If `sin(x)=1/2`, then solve trigonometric expression like `cos(x)csc(x)`
2.3 For point P(x,y), find values of all six trigonometric functions
2.4 Terminal Side `theta` for equation 2x+y=0, find values of all six trigonometric functions
2.5 For angle `theta`, find values of all six trigonometric functions
2. Derivative
1. First Derivative,
eg. (1) `d/(dx)(2x^(3)-2x^(2)-5x+4)`, (2) `d/(dx)(log(x)e^(x))`, (3) `d/(dx)(3cos(sin(x)))`
2. Second Derivative
3. Third Derivative
4. Fourth Derivative
5. nth Derivative / Higher order Derivative
6. Derivative at a Point
7. First derivative test for Local maxima and minima
8. Second derivative test for Local maxima and minima
9. Critical Points and Extrema
10. Increasing and decreasing functions at point
11. Increasing and decreasing intervals
3. Complex Number
1. Adding complex numbers
2. Subtracting complex numbers
3. Multiplying complex numbers
4. Dividing complex numbers
5. Real part of complex number
6. Imaginary part of complex number
7. Conjugate of complex number
8. Modulus / Magnitude / Absolute value of complex numbers
9. Multiplicative inverse of complex numbers
10. Reciprocal of complex number
11. Argument / Arg / Angle / Phase of complex number
12. Rectangular to Polar form of complex number
13. Polar to Rectangular form of complex number
14. Exponential form of complex number
15. Square root of complex number
16. Cube root of complex number
17. Powers of complex numbers
18. Roots of complex numbers
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