Write the following in terms of sin θ and cos θ and then simplify if possible.
B)
C)
D)

Question

Write the following in terms of sin  θ  and cos  θ  and then simplify if possible.  ​
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

Using the Pythagorean identity, we have 
sin² θ + cos² θ = 1. 
Subtracting cos² θ from both sides, we get 
sin² θ = 1 - cos² θ. 
Substituting this into the expression, we get 
cos² θ - sin² θ = cos² θ - (1-cos² θ) = 2cos² θ - 1. 
Therefore, the correct option is C, which is 11ebf5ef_bb63_54a1_95d1_89bd61b43cf1_TBX9354_11.

Write the Following in Terms of Sin θ and Cos