Answer:
140°
Step-by-step explanation:
180°=(4x-20)+×
180° = 5x-20
200°=5x
x=40°
140°+40°=180°
4a. 3,000m=3km.
5a. 1,000m=1km.
6a. 10km.= 10,000m.
7a. 8m.= 800cm.
8a. 9km= 9,000
9a. 5m.= 500cm.
10a. 7km.= 7,000cm.
4b. 400cm.= 4m.
5b. 600cm.= 6m.
6b. 900cm.= 9m.
7b. 5,000m.= 5km.
8b. 10m.= 1,000cm.
9b. 4km.= 4,000m.
10b. 8,000m.= 8km.
Answer:
The required verification is given below.
Step-by-step explanation:
To verify: ![\frac{\cos (x-y)}{\sin (x+y)}=\frac{1 + \cot x\cot y}{\cot x + \cot y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ccos%20%28x-y%29%7D%7B%5Csin%20%28x%2By%29%7D%3D%5Cfrac%7B1%20%2B%20%5Ccot%20x%5Ccot%20y%7D%7B%5Ccot%20x%20%2B%20%5Ccot%20y%7D)
Consider,
Left hand side = ![\frac{\cos (x-y)}{\sin (x+y)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ccos%20%28x-y%29%7D%7B%5Csin%20%28x%2By%29%7D)
Now by using Trigonometric identities,
![cos (A-B) = sin A.sin B + cos A.cos B \\sin (A+B) = sin A.cos B + cos A.sin B](https://tex.z-dn.net/?f=cos%20%28A-B%29%20%3D%20sin%20A.sin%20B%20%2B%20cos%20A.cos%20B%20%5C%5Csin%20%28A%2BB%29%20%3D%20sin%20A.cos%20B%20%2B%20cos%20A.sin%20B%20)
Now we get,
Left hand side = ![\frac{\sin x\sin y + \cos x\cos y}{\sin x\cos y+\cos x\sin y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20x%5Csin%20y%20%2B%20%5Ccos%20x%5Ccos%20y%7D%7B%5Csin%20x%5Ccos%20y%2B%5Ccos%20x%5Csin%20y%7D)
Now dividing Numerator and Denominator by
we get
Left hand side = ![\frac{1 +\frac{\cos x\cos y}{\sin x\sin y} }{\frac{\sin x\cos y+\cos x\sin y}{\sin x\sin y } }](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B%5Cfrac%7B%5Ccos%20x%5Ccos%20y%7D%7B%5Csin%20x%5Csin%20y%7D%20%7D%7B%5Cfrac%7B%5Csin%20x%5Ccos%20y%2B%5Ccos%20x%5Csin%20y%7D%7B%5Csin%20x%5Csin%20y%20%7D%20%7D)
Now we have identity
![cot x = \frac{\cos x}{\sin x}](https://tex.z-dn.net/?f=cot%20x%20%3D%20%5Cfrac%7B%5Ccos%20x%7D%7B%5Csin%20x%7D)
and
then
Left hand side = ![\frac{1 +\cot x\cot y}{\cot x + \cot y}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B%5Ccot%20x%5Ccot%20y%7D%7B%5Ccot%20x%20%2B%20%5Ccot%20y%7D)
Which is equal to our Right hand side required identity
This is the way we have
Left hand side = Right hand side Proved.
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanequation of line passing through (x₁,y₁):-
y-y₁=m(x-x₁)
The equation of line which passes through (4,3) and slope is 5/4
y-3=5/4(x-4)
4y-12=5x-20
5x-4y-8=0ation: