Trigonometry

Trigonometric Calculators 

Trigonometry

41. Sine Function: $\sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}$

42. Cosine Function: $\cos \theta =\frac{\text{adjacent}}{\text{hypotenuse}}$

43. Tangent Function: $\tan \theta =\frac{\text{opposite}}{\text{adjacent}}$

44. Pythagorean Identity: ${\sin }^2\theta +{\cos }^2\theta =1$

45. Double Angle Formula: $\sin 2\theta =2\sin \theta \cos \theta$

46. Double Angle Formula: $\cos 2\theta ={\cos }^2\theta -{\sin }^2\theta$

47. Half Angle Formula: $\sin \frac{\theta }{2}=\pm \sqrt{\frac{1-\cos \theta }{2}}$

48. Half Angle Formula: $\cos \frac{\theta }{2}=\pm \sqrt{\frac{1+\cos \theta }{2}}$

49. Sum of Angles: $\sin (A+B)=\sin A\cos B+\cos A\sin B$

50. Difference of Angles: $\sin (A-B)=\sin A\cos B-\cos A\sin B$

51. Sum of Angles: $\cos (A+B)=\cos A\cos B-\sin A\sin B$

52. Difference of Angles: $\cos (A-B)=\cos A\cos B+\sin A\sin B$

53. Tangent of Sum: $\tan (A+B)=\frac{\tan A+\tan B}{1-\tan A\tan B}$

54. Tangent of Difference: $\tan (A-B)=\frac{\tan A-\tan B}{1+\tan A\tan B}$

55. Cosecant Function: $\csc \theta =\frac{1}{\sin \theta }$

56. Secant Function: $\sec \theta =\frac{1}{\cos \theta }$

57. Cotangent Function: $\cot \theta =\frac{1}{\tan \theta }$

58. Inverse Sine Function: $\theta ={\sin }^{-1}(x)$

59. Inverse Cosine Function: $\theta ={\cos }^{-1}(x)$

60. Inverse Tangent Function: $\theta ={\tan }^{-1}(x)$