Question:
If cotθ = 28/45, then find the value of ( sinθ – cosθ ).
यदि cotθ = 28/45 है, तो ( sinθ – cosθ ) का मान ज्ञात कीजिए।
Options:
- a)
- b)
- c)
- d)
- a)
- b)
- c)
- d)
correct answer : b)
Explanation:
Base = 28, Perpendicular = 45. Hypotenuse = √(28² + 45²) = √(784 + 2025) = √2809 = 53. sinθ = 45/53, cosθ = 28/53. sinθ – cosθ = (45 – 28)/53 = 17/53.
आधार = 28, लंब = 45. कर्ण = √(28² + 45²) = √(784 + 2025) = √2809 = 53. sinθ = 45/53, cosθ = 28/53. sinθ – cosθ = (45 – 28)/53 = 17/53.