Answer:
see explanation
Step-by-step explanation:
(3)
Given cosΘ = - 
Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )
Since Θ in second quadrant then sinΘ > 0
sinΘ = 
Using the trigonometric identity
sin2Θ = 2sinΘcosΘ, then
sin2Θ = 2 ×
× -
= - 
(4)
Using the trigonometric identity
cos(x - y) = cosxcosy + sinxsiny
note cos15° = cos(45 - 30)°
cos(45 - 30) = cos45cos30 + sin45sin30
= (
×
) + (
×
)
= 
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
1
Step-by-step explanation:
y- intercept occurs at x= 0. Thus, the y-intercept of a line can be found by substituting x= 0 into it's equation.
x -y= -1
When x= 0,
0 -y= -1
-y= -1
Divide both sides by -1:
y= -1 ÷(-1)
y= 1
Thus, the y-intercept is 1.
Answer:
$33,090.
Step-by-step explanation:
The formula is A = P( 1 + r/2)^2n so we have:
50,000 = P(1 + 0.07/2)^(6*2)
50000 = P * 1.035^12
P = 50000/ 1.035^12
= $33,090 to the nearest dollar.
Answer:
13R
Step-by-step explanation:
There is no factorable way to answer this equation