Trig Formulas Online

Trigonometry is the study of the measure of the triangles, and these measures can be calculated using various trigonometric formulas. In trigonometry, there are formulas relating sides and angles of a triangle, area of a triangle and other estimations of a triangle. There are 6 basic trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. These 6 functions define trigonometry and the trigonometric formulas are based on these functions. Trigonometric identities are also trigonometric formulas which relate one function to the other function.

Example 1: If P = sin(x) * sec(x) and Q = cos(x) * cosec(x), then what is the value of P * Q?
Given: P = sin(x) * sec(x)
Q = cos(x) * cosec(x)
Now, P = sin(x) * sec(x) ==> P = sin(x) * 1/cos(x)
This gives, P = tan(x)
Now, Q = cos(x) * cosec(x) ==> Q = cos(x) * 1/(sin(x)
This gives, Q = cot(x)
So therefore, P * Q = tan(x) * cot(x) = 1 (Since they are reciprocal of each other)

Example 2: Simplify the give trigonometric expression, tan(x) + 1/cot(x).
Given: tan(x) + 1/cot(x)
In order to simplify the expression, we can re-write cot(x) in terms of tan(x).
Now, 1/cot(x) = tan(x) because ‘tangent’ and ‘cotangent’ of an angle are reciprocals of each other.
Now this gives: tan(x) + 1/cot(x) ==> tan(x) + tan(x) = 2tan(x)
Hence therefore, the given trigonometric expression, tan(x) + 1/cot(x) can be simplified to 2tan(x).

I just want you to know how great Brinda has been in tutoring me on probability. She is patient and very knowledgeable in all concepts. I look forward to many more sessions with her. I appreciate her help and the great work that Tutor Pace is doing.

- -
- 9th Grade, from Barbara

Thank you for your excellent tutoring services. It has surely made a lot of difference in our child's academic performance.

- -
- 9th Grader, from Venkat (father of Sai)

I have enjoyed my session with Aparna and it was helpful. I will hope to see her as my Math tutor in future sessions as well.

- -
- 10th Grade, from Senia Revayo

Your tutor has been such an inspiration to me as I have difficulty getting some of the physics concepts down and truly understanding them. She takes the time to fully explain each and every aspect of any problem I might ask for help and always with encouragement and humor.

- -
- 9th Grader, from Kansas

Trig Formulas

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL

HAVE A QUESTION? Chat With Our Tutoring Experts Now