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Questions and Answers
In the given right-angled triangles, what is the relationship between the angles θ and φ?
In the given right-angled triangles, what is the relationship between the angles θ and φ?
- tan θ = (3x - 2) / (11x + 30) and tan φ = (5x + 3) / (5)
- tan θ = (3x - 2) / (5x + 3) and tan φ = (11x + 30) / (5) (correct)
- tan θ = tan φ
- tan θ = (5x + 3) / (3x - 2) and tan φ = (5) / (11x + 30)
If tan θ = tan φ, what is the value of x?
If tan θ = tan φ, what is the value of x?
- x = 1.67
- x = 4.33
- x = 3.67
- x = 2.33 (correct)
If the value of x is 2.33, what is the value of tan θ and tan φ?
If the value of x is 2.33, what is the value of tan θ and tan φ?
- tan θ = tan φ = 0.667
- tan θ = tan φ = 2.33
- tan θ = tan φ = 3.17
- tan θ = tan φ = 1.50 (correct)
What is the value of $\sin \theta$ if $\tan \theta = \frac{3x - 2}{5x + 3}$ and $x = 2.33$?
What is the value of $\sin \theta$ if $\tan \theta = \frac{3x - 2}{5x + 3}$ and $x = 2.33$?
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If $\tan \phi = \frac{11x + 30}{5}$ and $x = 2.33$, what is the value of $\cos \phi$?
If $\tan \phi = \frac{11x + 30}{5}$ and $x = 2.33$, what is the value of $\cos \phi$?
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