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If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to cos β ?
- a)1 : 3
- b)√3 : 1
- c)1 : √3
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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If the value of α + β = 900, and α : β = 2 : 1, ...
The variable is not provided, then it is impossible to determine its value.
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If the value of α + β = 900, and α : β = 2 : 1, ...
Given α + β = 900, and α : β = 2 : 1
So, we can say that 2x + x = 900
3x = 900, which give
x = 300
So, α = 2x = 60
β = x = 30
cos α / cos β = cos 600 / cos 300
=> (1/2) / (√3/2)
or, 1/2 * 2/√3
= 1/√3
Or the ratio between cos α : cos β = 1 : √3
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If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to cos β ?a)1 : 3b)√3 : 1c)1 : √3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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