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:
$10775
Step-by-step explanation:
If 1 gallon of gas is $2.50, then the cost of 4310 gallons of gas will be:
4310 * 2.50
= $10775
Hope this answer was helpful!!
33 would round down. (30)
This is because the second 3 is smaller than 5 and when your rounding, if number your rounding is smaller then 5 you will round down
89 would round up. (90)
This is because the 9 is larger than 5 which means you would round up.
Please mark brainlies
Answer:
0.1306
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of free throws
x = Number of successes required = 6
p = probability of success = 0.60
q = probability of failure = 1 - 0.60 = 0.40
P(X = 6) = ⁷C₆ (0.6)⁶ (0.4)⁷⁻⁶ = 0.1306368 = 0.1306
Hope this Helps!!!
