Answer:
Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
Answer:
29 homework problems
Addition Property was used
Step-by-step explanation:
15+5=20+9=29
Addition
Answer:
Step-by-step explanation:
A grocery store has a 13%-off sale on all bread.
Let b represent the original price of a loaf of bread.
This means that the amount by which the price of bread was reduced would be
13/100 × b = 0.13 × b = 0.13b
The new price for the loaf of bread would be
b - 0.13b
you decide to purchase 6 loaves of bread. The expression would be
6(b - 0.13b)
Expanding the expression, it becomes
6b - 0.78b
