So lets get to the problem
<span>165°= 135° +30° </span>
<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>
<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>
<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>
<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>
<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
Answer:
Neither, x can be a negative number as well. If there is context, please post more to the question.
Step-by-step explanation:
Answer:
Cost =$3
Amount = 8 gallons and 17 gallons
Step-by-step explanation:
Given
24 + 51
Required
Simplify to show the cost and amount of gas bought by each individual
24 + 51
[Factorize]
3(8 + 17)
The above can't be factored any further.
Since the cost of gas for both individuals is the same, we can conclude the following.
Cost = $3
This is so because it applies to both numbers in brackets
Amount of Gas = 8 gallons and 17 gallons respectively by both individuals
In this question we have a diagram given. ANd on the basis of that diagram, we have to find the relationship between angles LMS and SMN.
As we see in the diagram, that these angles are one after another. ANd such angles are known as adjacent angles . So these two angles are adjacent angles .
So out of the four options, the correct option is the first option .
C=2pr
r=C/(2p) and we are given C=85 so
r=85/(2p) meters
r≈13.53 meters (to nearest one-hundredth of a meter)
