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a4-bExample 12. If sine-, then find thea+bvalue of cosθ and tan θ with the help ofrelations in trigonometric ratios, where θ isan acute angle.

Answer»

In ΔABC, Let ∠ABC beθSin θ = (a²- b²) / (a²+ b²)⇒ AB = (a²- b²)⇒ AC = (a²+ b²)⇒ BC = √[(a²+ b²)²- (a²- b²)²] [According to Pythagoras theorem]⇒ BC = √(4a²b²)⇒ BC = 2abCos θ = 2ab / (a²+ b²)Tan θ = (a²- b²) / 2ab.


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