12 3 2013 9 27 00 pm company. Simplifying trig expressions key simplify each expression to a number or one trig function.
A tan𝜃cos𝜃 b 1 cos 2𝜃 cos2𝜃 c cos𝜃csc𝜃 d sin𝜃sec𝜃 tan𝜃 example 2.
Simplifying trigonometric identities worksheet. These tailor made high school worksheets precisely deal with expressing the pythagorean theorem in terms of trigonometric functions. 1 2 2 sin𝜃 1 csc𝜃 csc𝜃 1 sin𝜃. The most basic identity is the pythagorean identity which is derived from the pythagoras theorem.
3 tan x csc x sin x 3 4 csc x 1 csc x 1 4. Use trigonometric identities to write each expression in terms of a single trigonometric identity or a constant. Honors precalculus simplifying trig expressions worksheet author.
4 5 4 35 c. Sbecker last modified by. They are the basic tools of trigonometry used in solving trigonometric equations just as factoring finding common denominators and using special formulas are the basic tools of solving algebraic equations.
Hannah peacock created date. Attach your work paper to the back of this sheet. Write your response on the line provided for each problem.
Honors precalculus simplifying trig expressions worksheet. Rationalizing the denominator complex examples. Expressions using identities show your work on a separate sheet of paper.
Verifying the fundamental trigonometric identities. These identities are true for any value of the variable put. Trigonometric identities are mathematical equations which are made up of functions.
Topics involving pythagorean identities to simplify trig expressions finding the values of trigonometric functions and mastering the trickiest part verifying or proving the statements are included here. Simplify the complex fraction. There are many identities which are derived by the basic functions i e sin cos tan etc.
2 5 3 5 d. 2 3 4 15 b. How to use trigonometric identities to simplify expressions using examples and step by step solutions algebraic manipulation of trigonometric functions distributive property foil factoring simplifying complex fractions multiplying dividing adding and subtracting fractions multiplying dividing simplifying.
3 tan 2 example 1. 1 tan x cos x 1 2 sec x sin x tan x 2 simplify. Some of the worksheets displayed are fundamental trig identities 14.
Simplify tan4 x 2tan2 x 1 simplify tan2 x cos2 x cot2 x sin2 x. Showing top 8 worksheets in the category simplifying trig. Identities enable us to simplify complicated expressions.