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If tan2θ = cot (3θ + 10°), then the value of θ equals:
  • a)
    16°
  • b)
  • c)
    30°
  • d)
    20°
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If tan2θ = cot (3θ + 10°), then the value of θ e...
Concept:
The question employs the concept of complementary trigonometric identities.
tanθ = cot (90 - θ)
sinθ = cos (90 - θ)
secθ = cosec (90 - θ)
Calculation:
Since tanθ and cot (90 - θ), forms a complementary pair-
⇒ 2θ + 3θ + 10°  = 90° 
⇒ 5θ + 10° = 90°
⇒ 5θ = 80°
∴ θ = 16° 
The value of θ is 16° 
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Most Upvoted Answer
If tan2θ = cot (3θ + 10°), then the value of θ e...
Concept:
The question employs the concept of complementary trigonometric identities.
tanθ = cot (90 - θ)
sinθ = cos (90 - θ)
secθ = cosec (90 - θ)
Calculation:
Since tanθ and cot (90 - θ), forms a complementary pair-
⇒ 2θ + 3θ + 10°  = 90° 
⇒ 5θ + 10° = 90°
⇒ 5θ = 80°
∴ θ = 16° 
The value of θ is 16° 
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If tan2θ = cot (3θ + 10°), then the value of θ equals:a)16°b)4°c)30°d)20°Correct answer is option 'A'. Can you explain this answer?
Question Description
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