This kind of exercise can be real drudgery. But it's almost all simple arithmetic, so better you than me. I'll do one of these for you, which will show you how to do the other one.
a). sin · cot / sec
You're supposed to know that [ cotangent = cosine/sine ]
and [ secant = 1/cosine ].
Then the problem becomes
sin · (cos/sin) / (1/cos) = cos²
Aw shucks, I might as well also set up 'b)' for you:
b). cos · csc / tan
You're supposed to know that [ cosecant = 1/sine ]
and [ tangent = sine/cosine ].
Then the problem becomes
cos · (1/sin) / (sin/cos) = (cos/sin)²
Now simply plug in the given values of cos A and sin A .
And may I compliment you on your nail care !
Answer:
Distributive Property
Step-by-step explanation:
If the given statement is
5(72 – 3y) = 360– 15y
When we apply the distributive property to the left hand side we get;

When we simplify we get

Therefore the distributive property justifies the given statement.
7 is the answer. hope this helps!
Answer:
X = 5
Step-by-step explanation:
Angles on a straight line=180°
180-151=29°
sum of angles in a triangle= 180°
11x-1+20-3+29=180
11x+20x-3-1+29=180
31x+25=180
31x=180-25
31x=155
divide both sides by 31
X=5
(11x-1)°= 55-1= 54°
(20x-3)°= 100-3= 97°
54°+97°+29°=180°