If a cos 0 – b sin 0 = c, then show that a sin 0 + b cos 0 =+√a^2+b^2-c^2
Answers
Answered by
0
Answer:
so simple just put the values nicely
Step-by-step explanation:
ok
Answered by
2
Step-by-step explanation:
acosθ - bsinθ=c
Squaring both sides
a²cos²θ+b²sin²θ − 2absinθcosθ = c²
⇒ a²(1 - sin²θ)+b²(1 - cos²θ) - 2absinθ
⇒ a² - a²sin²θ + b² - b²cos²θ - 2absinθ cosθ=c²
⇒ asin²θ + b²cos²θ + 2absinθcosθ = a² + b² - c²
⇒ (asinθ + bcosθ)² = a² + b² - c²
⇒ a sinθ + bcosθ = a² + b² - c²
Hope it helps!
Similar questions