All Trigonometry Resources
Example Questions
Example Question #1 : Sum And Difference Of Sines And Cosines
What is the correct formula for the sum of two sines: ?
This is a known trigonometry identity. Whenever you are adding two sine functions, you can plug and
into the formula to solve for this sum
Example Question #2 : Sum And Difference Of Sines And Cosines
Solve for the following given that . Use the formula for the sum of two sines.
We begin by considering our formula for the sum of two sines
We will let and
and plug these values into our formula.
Example Question #3 : Sum And Difference Of Sines And Cosines
Solve for the following using the formula for the differences of two cosines. Do not simplify.
We begin by considering the formula for the differences of two cosines.
We will let and
. Proceed by plugging these values into the formula.
Example Question #2 : Sum And Difference Of Sines And Cosines
Which of the following completes the identity
This is a known trigonometry identity and has been proven to be true. It is often helpful to solve for the quantity within a cosine function when there are unknowns or if the quantity needs to be simplified
Example Question #5 : Sum And Difference Of Sines And Cosines
Solve for the following using the correct identity:
To solve this problem we must use the identity
. We will let
and
.
Example Question #1 : Sum And Difference Of Sines And Cosines
True or False: To solve for a problem in the form of , I use the identity
.
True
False
False
This answer is false. is not the same as
.
For example, say and
And so the correct identity to use for this is
Example Question #7 : Sum And Difference Of Sines And Cosines
Solve for the following using the correct identity:
The correct identity to use for this kind of problem is
. We will let
and
.
Example Question #3 : Sum And Difference Of Sines And Cosines
Which of the following is the correct to complete the following identity: ___?
This is a known trigonometry identity and has been proven to be true. It is often helpful to solve for the quantity within a cosine function when there are unknowns or if the quantity needs to be simplified
All Trigonometry Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)