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If tan α = √3 and cosec β = 1, then the value of α – β?
  • a)
    -30°
  • b)
    30°
  • c)
    90°
  • d)
    60°
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If tan α = √3 and cosec β = 1, then the value of &alp...


Given Information:
- tan α = √3
- cosec β = 1

To Find:
Value of α – β

Solution:

Step 1: Finding the value of α
Given that tan α = √3, we can use the fact that tan α = sin α/cos α.
Since tan α = √3, sin α = √3 and cos α = 1.
Therefore, α = 60°.

Step 2: Finding the value of β
Given that cosec β = 1, we know that cosec β = 1/sin β.
Since cosec β = 1, sin β = 1.
Therefore, β = 90°.

Step 3: Calculating the value of α – β
Substitute the values of α and β into the expression.
α – β = 60° - 90° = -30°

Therefore, the correct answer is option 'A' (-30°).
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Community Answer
If tan α = √3 and cosec β = 1, then the value of &alp...
tan α = √3 and tan 60° = √3
∴ α = 60°
Cosec β = 1 and cosec 90° = 1
∴ β = 90°
α – β = 60 – 90 = -30°
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If tan α = √3 and cosec β = 1, then the value of α – β?a)-30°b)30°c)90°d)60°Correct answer is option 'A'. Can you explain this answer?
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