All Trigonometry Resources
Example Questions
Example Question #1 :Sum, Difference, And Product Identities
True or false:
.
Cannot be determined
True
False
False
The sum of sines is given by the formula.
Example Question #2 :Sum, Difference, And Product Identities
True or false:.
Cannot be determined
True
False
False
The difference of sines is given by the formula.
Example Question #3 :Sum, Difference, And Product Identities
True or false:.
True
False
Cannot be determined
False
The sum of cosines is given by the formula.
Example Question #4 :Sum, Difference, And Product Identities
True or false:.
Cannot be determined
False
True
False
The difference of cosines is given by the formula.
Example Question #5 :Sum, Difference, And Product Identities
Which of the following correctly demonstrates the compound angle formula?
The compound angle formula for sines states that.
Example Question #6 :Sum, Difference, And Product Identities
Which of the following correctly demonstrates the compound angle formula?
The compound angle formula for cosines states that.
Example Question #7 :Complete A Proof Using Sums, Differences, Or Products Of Sines And Cosines
Simplify by applying the compound angle formula:
Using the compound angle formula, we can rewrite each half of the non-coefficient terms in the given expression. Given thatand, substitution yields the following:
This is the formula for the product of sine and cosine,.
Example Question #8 :Complete A Proof Using Sums, Differences, Or Products Of Sines And Cosines
Simplify by applying the compound angle formula:
Using the compound angle formula, we can rewrite each half of the non-coefficient terms in the given expression. Given thatand, substitution yields the following:
This is the formula for the product of two cosines,.
Example Question #9 :Complete A Proof Using Sums, Differences, Or Products Of Sines And Cosines
Usingand the formula for the sum of two sines, rewrite the sum of cosine and sine:
Substitutefor:
Apply the formula for the sum of two sines,:
Example Question #10 :Complete A Proof Using Sums, Differences, Or Products Of Sines And Cosines
Usingand the formula for the difference of two sines, rewrite the difference of cosine and sine:
Substitutefor:
Apply the formula for the difference of two sines,.
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