Question

if sin(A+30)=1 then secA=_____​

Answer 1

Heya

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Sin ( A + 30 ) = Sin ( 90 )

Becoz Sin ( 90 ) = 1

=>

A + 30 = 90

=>

A = 90 -30

=>

A = 60°

So, Sec A = Sec (60°) = 2/1

Answer 2

Given:

• sin(A+30) = 1

To Find:

• The value of sec(A)

Solution:

Consider,

⇒ sin(A+30) = 1

⇒ sin(A+30) = sin(90) {from trigonometry table( sin(90) = 1) }

⇒ A + 30 = 90 {cancelling sin OBS}

⇒ A = 90-30 {subtracting the terms}

⇒ A = 60

Now substitute thye value of A in sec(A), we get,

⇒ sec(60) = 2 {from trigonometry table  { (sec(60) = 2) }

∴ The value of sec(60) = 2