598,909 is the answer because when I put that for a test I got it right
Answer:
1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.
answer : cos x = √5/3
2. 4/3
3. sin (- theta) = - sin (x) so sin x = 1/6
tan = sin / cos = 1/6 / cos = - sqrt35/35 solve for cos
cos = 1/6 * (-35/sqrt35)
= -35 sqrt35 /210
answer : −35/√210
4. The cosine function is an even function, so cos(θ) = cos(-θ).
The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)
For sin(θ) < 0 and cos(θ) = (√3)/4, sin(θ) = -√(1 -3/16) = -√(13/16)
sin(θ) = -(√13)/4 For sin(θ) < 0 and cos(0) = √(3/4), ...
sin(θ) = -√(1 -3/4) = -√(1/4) sin(θ) = -1/2
answer : -13/√4
5. answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step
Answer:
x + 4 - 3√2 and x + 4 + 3√2
Step-by-step explanation:
When other methods seem to difficult to apply, try using the quadratic formula:
Here a = 1/2, b = 4 and c = -1.
Then the "discriminant" is b^2 - 4ac, or
(4)^2 - 4(1/2)(-1), or 16 + 2 = 18
Then the roots are:
-4 ± √18, or -4 ± 3√2
and thus the factors are x + 4 - 3√2 and x + 4 + 3√2
x = ---------------------
The opposite of. 0.5 or 1/2
Answer:
x = 0 (I must assume you had a typo since c is not a variable in this equation!
Step-by-step explanation:
Solve for x:
2 (x - 3) + 9 = 3 (x + 1) + x
2 (x - 3) = 2 x - 6:
2 x - 6 + 9 = 3 (x + 1) + x
Grouping like terms, 2 x - 6 + 9 = 2 x + (-6 + 9):
2 x + (-6 + 9) = 3 (x + 1) + x
9 - 6 = 3:
2 x + 3 = 3 (x + 1) + x
3 (x + 1) = 3 x + 3:
2 x + 3 = 3 x + 3 + x
Grouping like terms, 3 x + x + 3 = (3 x + x) + 3:
2 x + 3 = (3 x + x) + 3
3 x + x = 4 x:
2 x + 3 = 4 x + 3
Subtract 4 x from both sides:
(2 x - 4 x) + 3 = (4 x - 4 x) + 3
2 x - 4 x = -2 x:
-2 x + 3 = (4 x - 4 x) + 3
4 x - 4 x = 0:
3 - 2 x = 3
Subtract 3 from both sides:
(3 - 3) - 2 x = 3 - 3
3 - 3 = 0:
-2 x = 3 - 3
3 - 3 = 0:
-2 x = 0
Divide both sides of -2 x = 0 by -2:
(-2 x)/(-2) = 0/(-2)
(-2)/(-2) = 1:
x = 0/(-2)
0/(-2) = 0:
Answer: x = 0
