Solving Trigonometry Problem: sin θ / √1-sin^2 θ

In summary, the conversation discusses a trigonometric problem involving sin θ and √1-sin^2 θ. The conversation suggests using the formula sin^{2}\theta+cos^{2}\theta=1 to solve the problem. However, the poster is unsure how to use the formula and requests further explanation. The other posters recommend reviewing the basics of trigonometry and using the formula as a hint to solve the problem.
  • #1
luigihs
86
0
1. sin θ / √1-sin^2 θ



I don't know this, I know sin = 1 / csc but I not sure how to do this problem :( I don't know about the √1-sin^2 θ
 
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  • #2
Try using:

$$sin^{2}\theta+cos^{2}\theta=1$$
 
  • #3
BloodyFrozen said:
Try using:

$$sin^{2}\theta+cos^{2}\theta=1$$

I don't understand that sorry can you explain for me? please
 
  • #4
luigihs,
BloodyFrozen has given you a good hint. It is up to you to use the hint. It is against Physics Forums policy to do the work for posters.
 
  • #5
But i don't even know how to use that formula how i am suppose to answer that problem ?? what is that ?? for me is just a formula .. but I am guessing maybe is not a formula
 
  • #6
luigihs said:
But i don't even know how to use that formula how i am suppose to answer that problem ?? what is that ?? for me is just a formula .. but I am guessing maybe is not a formula

That is the most important formula of entire trigonometry. If you don't know that formula, then I suggest you review your course. There is nothing else we can do for you.
 
  • #7
How are you already simplifying (simple) expressions when you don't know the most basic one? As for my original hint, see if you can get ##sin^{2}\theta+cos^{2}\theta=1## to match a part of the expression that you are trying to simplify.
 

FAQ: Solving Trigonometry Problem: sin θ / √1-sin^2 θ

What is the formula for solving a trigonometry problem involving sin θ / √1-sin^2 θ?

The formula for solving a trigonometry problem involving sin θ / √1-sin^2 θ is: sin θ / √1-sin^2 θ = sin θ / cos θ = tan θ

What is the Pythagorean identity and how is it used in solving trigonometry problems?

The Pythagorean identity states that for any angle θ, sin^2 θ + cos^2 θ = 1. This identity is used in solving trigonometry problems by manipulating equations to get them into a form where the Pythagorean identity can be applied, simplifying the problem.

How do you find the values of θ that make sin θ / √1-sin^2 θ undefined?

To find the values of θ that make sin θ / √1-sin^2 θ undefined, set the denominator equal to 0 and solve for θ. In this case, √1-sin^2 θ = 0, so sin^2 θ = 1. This means that θ = 0 or π (plus or minus any integer multiple of π).

What is the unit circle and how is it used in solving trigonometry problems?

The unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane. It is used in solving trigonometry problems as a reference for the values of trigonometric functions for any angle θ. By using the unit circle, we can easily find the values of sin θ and cos θ for any angle.

How can you check your answer to a trigonometry problem involving sin θ / √1-sin^2 θ?

You can check your answer to a trigonometry problem involving sin θ / √1-sin^2 θ by using a calculator to calculate the value of the expression for the given angle θ. You can also verify your answer by using the Pythagorean identity and checking if the equation is satisfied.

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