If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3

1.	If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?
Answer» 5 sec θ -3 TAN θ =5 ….1 5 tan θ -3 sec θ = x …2 On squaring both EQUATIONS and subtracting 2 from 1, (5 sec θ – 3 tan θ)^ 2- (5 tan θ – 3 sec θ)^ 2=25 – X^2 (25 sec 2 θ – 25 sec θ3 tan θ + 9 tan 2 θ) – (25 tan 2 θ – 25 sec θtan θ+ 9 sec 2 θ)=25-X^2 X^ 2 =25-16=9 X =√9 =±3

If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

Answer»

5 sec θ -3 TAN θ =5 ….1

5 tan θ -3 sec θ = x …2

On squaring both EQUATIONS and subtracting 2 from 1,

(5 sec θ – 3 tan θ)^ 2- (5 tan θ – 3 sec θ)^ 2=25 – X^2

(25 sec 2 θ – 2*5 sec θ*3 tan θ + 9 tan 2 θ) – (25 tan 2 θ – 2*5 sec θ*tan θ+ 9 sec 2 θ)=25-X^2

X^ 2 =25-16=9

X =√9 =±3

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If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

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