If tan (5 -10°) = cot (5φ +20°), then the value of + q is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 16°.
tan(5θ - 10°) = cot(5φ + 20°)
⇒ tan(5θ - 10°) = tan(70° - 5φ)
⇒ 5θ - 10° = 70° - 5φ
⇒ 5θ + 5φ = 70° + 10°
⇒ 5θ + 5φ = 80°
⇒ θ + φ = 80°/5 = 16°
Therefore, the value of θ + φ is 16°.