Brooks Composite High School Math 30-1 Mrs. S. McKinney Written Response: Use the following trigonometric identity to answer the next question. sin (2x) 2 tan x 1-sin² x 1. a. Explain how you could verify the identity by using a graphical approach. (1 mark)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Brooks Composite High School
Math 30-1
Mrs. S. McKinney
Written Response:
Use the following trigonometric identity to answer the next question.
sin (2x) = 2 tan x
1-sin² x
1.
a. Explain how you could verify the identity by using a graphical approach. (1 mark)
b. Algebraically prove that the identity is true for all permissible values. (3 marks)
sin (2x)
1-sin² x
= 2 tan x
Transcribed Image Text:Brooks Composite High School Math 30-1 Mrs. S. McKinney Written Response: Use the following trigonometric identity to answer the next question. sin (2x) = 2 tan x 1-sin² x 1. a. Explain how you could verify the identity by using a graphical approach. (1 mark) b. Algebraically prove that the identity is true for all permissible values. (3 marks) sin (2x) 1-sin² x = 2 tan x
Math 30-1
Mrs. S. McKinney
Brooks Composite High School
C.
A trigonometric identity is true for all values of x except those values for which either
side of the equation is undefined. Determine, for the domain of real numbers, all
possible non-permissible values of x for either side of the identity. (3 marks)
2. Algebraically solve the equation 7+sin² x=8-3sin²x. Show all the steps required in
obtaining the answer. Provide the general solution. (4 marks)
Transcribed Image Text:Math 30-1 Mrs. S. McKinney Brooks Composite High School C. A trigonometric identity is true for all values of x except those values for which either side of the equation is undefined. Determine, for the domain of real numbers, all possible non-permissible values of x for either side of the identity. (3 marks) 2. Algebraically solve the equation 7+sin² x=8-3sin²x. Show all the steps required in obtaining the answer. Provide the general solution. (4 marks)
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