The given identity sin(x+ y) - sin (x- y) = 2 cos x sin y has been verified
The identity is
sin(x+ y) - sin (x- y) = 2 cos x sin y
Here we have to use the trigonometric function
Consider the right hand side of the equation
We know
sin (x+ y) = sin x cos y + cos x sin y
sin (x-y) = sin x cos y - cos x sin y
Then
sin(x+ y) - sin (x- y) = sin x cos y + cos x sin y - (sin x cos y - cos x sin y)
= sin x cos y + cos x sin y - sin x cos y + cos x sin y
Eliminate the terms
= cos x sin y + cos x sin y
= 2 cos x sin y
Hence, the given identity sin(x+ y) - sin (x- y) = 2 cos x sin y has been verified
Learn more about trigonometric function here
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Answer:
1 hour=8.5miles
Step-by-step explanation:
if the boat traveled 17 miles in 2 hours then in 1 hour the boat traveled, because 17/2=8.5
idek if this answers your question but 8.5*72=612
Answer:
c. no real solutions
Step-by-step explanation:
because:
1. 10+6x=15+9x-3x
6x+10=15+9x-3x
2. 6x+10=15+9x-3x
6x+10=15+6x
3. 6x+10=15+6x
6x+10=6x+15
4. 6x+10=6x+15
6x+10-10=6x+15-10
5. 6x=6x+5
6. 6x=6x+5
6x-6x=6x+5-6x
Then you get:
0=5
remember, If you want to know if an equation has no equation:
the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.
I hope this helps :)
Answer would be 24 hope this is right