Answer:
6 cos Θ
Step-by-step explanation:
sin Θ cot Θ + 5 cos Θ =
= sin Θ × cos Θ / sin Θ + 5 cos Θ
= cos Θ + 5 cos Θ
= 6 cos Θ
Answer:
centre (5, 6 ) , r = 
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r = 
Answer:
tan a + cot b
Step-by-step explanation:
It's already simplified.
There are alternate forms like
![sec(a)csc(b)cos(a-b)\\\\sec(a)csc(b)[sin(a)sin(b)+cos(a)cos(b)]\\\\\frac{sin (a)}{cos (a)} +\frac{cos(b)}{sin(b)}](https://tex.z-dn.net/?f=sec%28a%29csc%28b%29cos%28a-b%29%5C%5C%5C%5Csec%28a%29csc%28b%29%5Bsin%28a%29sin%28b%29%2Bcos%28a%29cos%28b%29%5D%5C%5C%5C%5C%5Cfrac%7Bsin%20%28a%29%7D%7Bcos%20%28a%29%7D%20%2B%5Cfrac%7Bcos%28b%29%7D%7Bsin%28b%29%7D)
A because the rest are just adding or multiplying
Answer: In fraction :
In Decimal : 0.746
Step-by-step explanation:
Given : A ream of paper contains 500 sheets of paper.
Norm has 373 sheets of paper left from a ream.
Then, the fraction of ream Norm has will be :-

To convert in decimal we divide 373 by 500, we get 0.746.
Hence, The portion of a ream Norm has as =
or 0.746