What is the exact value of sin when cos x =1/√10?

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Homework Help Overview

The problem involves finding the exact value of sine given that cosine of an angle in the first quadrant is 1/√10. The context is trigonometry, specifically dealing with the relationships between sine and cosine in right triangles.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the definition of sine and cosine, with one suggesting the use of a triangle to visualize the problem. There is an emphasis on understanding the relationships between the sides of the triangle and the trigonometric functions.

Discussion Status

Some guidance has been offered regarding the use of a triangle to approach the problem, and participants are exploring different ways to connect the given cosine value to the sine value. There is no explicit consensus yet on the method to find the sine value.

Contextual Notes

The problem is framed within the constraints of a homework assignment, where participants are reminded to show their attempts and utilize the provided homework template.

ohhnana
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Homework Statement



cos x is a first quadrant angle in standard position and cos x =1/√10 . Find the exact value of sin .

Homework Equations



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The Attempt at a Solution


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Hint: Remember the definition of sine and cosine.
 
I would suggest drawing a triangle with the fraction result of cos x distributed on the appropriate edges. You should be able to 'fill in the blanks'
 
ohhnana said:

Homework Statement



cos x is a first quadrant angle in standard position and cos x =1/√10 . Find the exact value of sin .

Homework Equations



?

The Attempt at a Solution


?
Excerpt from the forum rules (https://www.physicsforums.com/showthread.php?t=414380)
Homework Help:
You MUST show that you have attempted to answer your question in order to receive help. You MUST make use of the homework template, which automatically appears when a new topic is created in the homework help forums.
 

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