Maximum and minimum values of trigonometric functions calculator


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Method and examples
Derivative
Method  

1. Find Derivative
y =
Order of derivative
Also evaluate at x =
Simplify Before and after derivative
 

  1. `2x^3-2x^2-5x+4`
  2. `log(x)`
  3. `exp(3x)`
  4. `sin^3(x)`
  5. `2log(x)+3e^x+4tan^2(x)-5sec^2(x)`
  6. `log(x)e^x`
  7. `sec^2(x)-tan^2(x)`
  8. `(x^2+1)/(x^2-1)`
  9. `x^2*sin(x)/log(x)`
  10. `asin(x)`
  11. `acos(x)`
  12. `atan(x)`
  13. `acot(x)`
  14. `acsc(x)`
  15. `asec(x)`
  16. `sqrt(x)`
  17. `3^x`
  18. `3^(2tan^2(x)) tan(x)`
  19. `2sin(tan^2(x))*3cos(x)-3cos(sin(x))+4`
  20. `2sin^3(x+tan^2(x))`
  21. `3cos(sin(x))`
  22. `e^(-2x)`
  23. `sqrt(sin(x))`
  24. `x^2*3^x*sin(x)`
  25. `e^(x^2)`
  26. `log^2(x)`
  27. `sin(x^2)`
  28. `log(log(log(x)))`
  29. `sin(e^x)`
  30. `sin(3^x)`
  31. `log(sin(x^2))`
  32. `e^(tan(x^2))sin^2(x)`
  33. `sin(cos(sin(e^x+1)))`
  34. `sin(log(cos(e^x+x^2)))`
  35. `3^x*e^(log(x))`
  36. `sqrt(x^2+1)`
  37. `2sin^3(1+tan^2(x))-3cos(sin(x))+4`
  38. `asin(3x-4x^3)`
  39. `atan((sqrt(1-x^2)-1)/x)`


2. Find maximum and minimum value of y
y =
 
 

  1. `x^3+6x^2-15x+7`
  2. `x^3-9x^2+24x+2`
  3. `4x^3+19x^2-14x+3`
  4. `3x^2+12x-15`



SolutionHelpInput functions

 



Maximum and minimum values of trigonometric functions calculator
Maximum and minimum values of trigonometric functions calculator
Maximum and minimum values of trigonometric functions calculator
Maximum and minimum values of trigonometric functions calculator
Maximum and minimum values of trigonometric functions calculator
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Exact trigonometric constants

Exact constant expressions for trigonometric expressions are sometimes useful, mainly for simplifying solutions into radical forms which allow further simplification. All values of sine, cosine, and tangent of angles with 3° increments are derivable using identities: Half-angle, Double-angle, Addition/subtraction and values for 0°, 30°, 36°, and 45°. Note that 1° = radians. This article is incomplete in at least two senses. First, it is always possible to apply a half-angle formula and find an e

Trigonometry Function Calculator


Use the Trigonometry Calculator to calculate the value of any trigonometry function.

Please select between radians and degrees first!

Usual values used in trigonometry

Π(pi) = 3.1415 ;          Π/2(pi/2) = 1.5707 ;
Π/3(pi/3) = 1.0471 ;    Π/4(pi/4) = 0.7853 ;
Π/5(pi/5) = 0.6283 ;    Π/6(pi/6) = 0.5235 ;
Π/7(pi/7) = 0.4488 ;    Π/8(pi/8) = 0.3927 ;
Π/9(pi/9) = 0.3490 ;    Π/10(pi/10) = 0.3141 ;

(2*pi) = 6.2831 ;     (3*pi) = 9.4247 ;
(4*pi) = 12.5663 ;    (5*pi) = 15.7079 ;
(6*pi) = 18.8595 ;     (7*pi) = 21.9911 ;
(8*pi) = 25.1387 ;     (9*pi) = 28.2743 ;
10Π (10*pi) = 31.4159 ;

How do you find the maximum and minimum value of trig functions?

Ratta-fication formulas.
a sin θ ± b cos θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }.
a sin θ ± b sin θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }.
a cos θ ± b cos θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }.
Min. value of (sin θ cos θ)n = (½)n.

How do you find maximum and minimum values?

Use basic rules of algebra to rearrange the function and solve the value for x, when the derivative equals zero. This solution will tell you the x-coordinate of the vertex of the function, which is where the maximum or minimum will occur. into the original function and solve to find the minimum or maximum.

What is the maximum and minimum value of sin and cos?

The cosine function ranges from -1 to 1, therefore the minimum is -1 and the maximum is 1. 2. The sine function ranges from -1 to 1, and since there is a two multiplied by the function, the minimum is -2 and the maximum is 2.