Answer:
See below in bold.
Step-by-step explanation:
(1) cosec ( x + 10) = 3
Now cosec x = 1/sin x so
1 / sin (x + 10) = 3
3 sin (x + 10) = 1
sin (x + 10) = 1/3
x + 10 = 19.47 , 160.53 degrees
x = 9.47, 150.53 degrees.
(ii) cot (x - 30) =0.45
cot (x - 30)= 1 /tan (x- 30) so we have
tan (x - 30) = 1 / 0.45 = 2.2222
x - 30 = 65.77 degrees
x = 95.77 degrees.
Answer:
1/1080
1/3
y=cos(x/3)
Step-by-step explanation:
just did it
Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,
![a+b=c\\\\a+b=ka\\\\b=ka-a\\\\b=a(k-1)\\\\\implies a|b](https://tex.z-dn.net/?f=a%2Bb%3Dc%5C%5C%5C%5Ca%2Bb%3Dka%5C%5C%5C%5Cb%3Dka-a%5C%5C%5C%5Cb%3Da%28k-1%29%5C%5C%5C%5C%5Cimplies%20a%7Cb)
a=mb, here, m = k-1
Hence, proved.
What are we multiplying exactly?