If alpha and beta are solutions of acostheta bsintheta
Asked by admin @ in Math viewed by 321 People
if alpha and beta are two distinct roots satisfying the equation acostheta +bsintheta =c prove that sin (alpha+beta) =2ab/asquare+bsquare
Asked by admin @ in Math viewed by 321 People
if alpha and beta are two distinct roots satisfying the equation acostheta +bsintheta =c prove that sin (alpha+beta) =2ab/asquare+bsquare
Answered by admin @
Answer:
Step-by-step explanation:
Given,
This is in a form of a quadratic equation, whoes roots are α and β. If we compare this equation with standard from, We find that x is compared to tan∅. hence, We can say that tanα and tanβ are solutions of this quadratic equation.
Now,
Now,We know that,
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