Can you prove the trig identities given A + B + C = 180 degrees?

Thread starter Blandified
Start date May 21, 2013
Tags

identities Trig Trig identities

In summary, trigonometric identities are mathematical equations involving trigonometric functions that hold true for all values of the variables. They are important for simplifying complex expressions and solving equations. Common trigonometric identities include Pythagorean, double angle, and half angle identities. To prove a trigonometric identity, one must manipulate one side of the equation using algebraic techniques and known identities to make it equivalent to the other side. Some helpful tips for solving trigonometric identities problems include using Pythagorean identities, substituting values, and simplifying expressions by factoring.

May 21, 2013

Blandified

Given:
A + B + C = 180 degrees

Prove:
TanA + TanB + TanC = TanA x TanB x TanC
First time submitting something. Thank you all.

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May 21, 2013

verty

Homework Helper

Hint: what do you know about 3 angles that sum to 180 degrees?

May 21, 2013

CAF123

Gold Member

You need to show some attempt.

Jun 19, 2013

kevinj888

Start proving from the LHS.

Related to Can you prove the trig identities given A + B + C = 180 degrees?

What are trigonometric identities?

Trigonometric identities are mathematical equations that involve trigonometric functions, such as sine, cosine, and tangent, that are true for all values of the variables.

Why are trigonometric identities important?

Trigonometric identities are important because they allow for simplification of complex trigonometric expressions and help solve trigonometric equations.

What are some common trigonometric identities?

Some common trigonometric identities include the Pythagorean identities, double angle identities, and half angle identities.

How do I prove a trigonometric identity?

To prove a trigonometric identity, you need to manipulate one side of the equation using algebraic techniques and the known trigonometric identities until it is equivalent to the other side of the equation.

What are some tips for solving trigonometric identities problems?

Some tips for solving trigonometric identities problems include using the Pythagorean identities, substituting in values for the variables, and looking for common factors to simplify the expression.