Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
Given:


To find:

Solution:


Substitute
.


Subtract 26° from both sides.


Divide by 2 on both sides, we get

Therefore, m∠1 = 35°.
Given:
A right angled triangle.
To find:
The value of x.
Solution:
We have,
Base = x
Hypotenuse = 
In a right angle triangle,

For the given triangle,


Multiply both sides by
.



Therefore, the required value of x is
.