If xsi A=5 and 7cosecA=6secA, then the value of x is

1.	If xsi A=5 and 7cosecA=6secA, then the value of x is
Answer» 7cosecA = 6 secA Therefore 7/6 = secA/cosecAOr sinA/cosA = 7/6Or tanA = 7/6Now draw a triangle with base = 6k and perpendicular = 7k apply Pythagoras theorem to get hypotenuse = (√85)k therefore sinA = 7k/(√85)k = 7/√85 therefore xsinA = 5 implies7x/√85 = 5 therefore x = (5√85)/7

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