MHB Trigonometric function values of quadrantal angles

Click For Summary
The discussion revolves around the calculation of 7 cot 270° + 4 csc 90°, highlighting confusion due to a domain error encountered on a calculator. It is clarified that tan(270°) is undefined, which leads to the error when attempting to compute cotangent. The suggestion is made to use the identity 7*cos(270°)/sin(270°) as an alternative method for calculation. Additionally, it is noted that a calculator may not be necessary for solving this problem. Understanding the properties of trigonometric functions at quadrantal angles is essential for resolving such issues.
bgb
Messages
1
Reaction score
0
I can't seem to solve 7 cot 270° + 4 csc 90°
I don't know whether I'm entering something in my calculator wrong (could've sworn I was doing it right earlier) or if there just isn't an answer.

In my calculator, I enter 7/tan(270°)+4/sin(90°) and it gives me a domain error.
 
Mathematics news on Phys.org
bgb said:
I can't seem to solve 7 cot 270° + 4 csc 90°
I don't know whether I'm entering something in my calculator wrong (could've sworn I was doing it right earlier) or if there just isn't an answer.

In my calculator, I enter 7/tan(270°)+4/sin(90°) and it gives me a domain error.

The reason is because tan(270°) is undefined.

You really shouldn't need a calculator for this, but if you really do, try entering as 7*cos(270°)/sin(270°).
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 28 ·
Replies
28
Views
3K
Replies
8
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 26 ·
Replies
26
Views
4K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
8K
  • · Replies 2 ·
Replies
2
Views
2K