(csc x-1)(csc x+1)=csc²x-1²=csc²x-1=(1/sin x)² -1=1/sin x² - sin²x/sin²x=
=(1-sin²x)/sin² x = cos² x/ sin² x = (cos x/sin x)²= (cot x)²
Answer:
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Step-by-step explanation:
Answer:
580ml
Step-by-step explanation:
Let The quantity of water drank by Carol be x
Now given that Keela drank twice as much water as Carol which means the quantity of water drank by Keela is 2x
Also given that Xavier drank 100 mL more water than Keela which means the quantity of water drank by Xavier is 2x+100
Total water consumed by all the three is 3 litres=3000 ml
Total water drank = Water drank by Keela + Water drank by Xavier +Water drank by carol
3000=x+2x+2x+100
5x=2900
x=580ml
Carol drank 580ml of water.
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
