Asked by Henry
An angle θ satisfies the relation csc θ cos θ = -1.
A) Use the definition of the reciprocal trigonometric ratios to express the left side in terms of sin θ and cos θ.
B) What is the relation between sin θ and cos θ for this angle?
C) Determine two possible values for θ.
- Please help me with this question, I have no clue where to start as my teacher never taught us something like this!
A) Use the definition of the reciprocal trigonometric ratios to express the left side in terms of sin θ and cos θ.
B) What is the relation between sin θ and cos θ for this angle?
C) Determine two possible values for θ.
- Please help me with this question, I have no clue where to start as my teacher never taught us something like this!
Answers
Answered by
Steve
cscθ cosθ = -1
1/sinθ cosθ = -1
cosθ/sinθ = -1
as with any angle,
cos^2θ + sin^2θ = 1
In this case,
cosθ = -sinθ
tanθ = -1
θ = 3π/4 or 7π/4
No idea at all? Hmmm. I cannot believe that the question was assigned, yet the material never taught!!!???
And have you never heard of google?
1/sinθ cosθ = -1
cosθ/sinθ = -1
as with any angle,
cos^2θ + sin^2θ = 1
In this case,
cosθ = -sinθ
tanθ = -1
θ = 3π/4 or 7π/4
No idea at all? Hmmm. I cannot believe that the question was assigned, yet the material never taught!!!???
And have you never heard of google?