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
Hey!
You stuck?
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The answer is 1.3 because 3 -3 is 0 and 2.7-1.4 =1.3
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Answer:
b. $35.61
Step-by-step explanation:
First, convert the 25% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 25%) by 100%.So, the conversational term "25%" becomes 25% / 100% = 0.25 in terms of a real mathematical number.
Second, you need to find out what 25% of your $28.49 meal cost is.This is always done by multiplying 0.25 by $28.49, or
<h2> 0.25 x $28.49=$7.12.
</h2>
So, the amount of tip you are going to leave is $7.12.
This makes the total cost of your meal (to write on your charge slip or other payment)
<h2>
$28.49 + $7.12 = $35.61.
</h2>
