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Let in a right angled triangle, the smallest angle be θ. If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then sin is equal to:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let in a right angled triangle, the smallest angle be θ. If a tr...

∠A = θ
∠B = 90° - θ
c2 = a2 + b2 

Use a = 2R sin A = 2R sin θ
b = 2R sin B = 2R sin (90 - θ) = 2R cosθ
c = 2R sin B = 2 sin90° = 2R

1 - sin2θ = sin2θ (1 - sin2θ) + sin2θ
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Let in a right angled triangle, the smallest angle be θ. If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then sin is equal to:a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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