Question

If 1 + secA= x, then the value of x is
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Answer 1

Hey Pretty Stranger!

Here, we're given with :

• 1 + sec A = x

To Find :

• The value of x

___________________

→ 1 + Sec A = x

→ 1 + (1/Cos A)

→ (1 + cos A)/cos A

Multiplying the numerator and denominator by (1 - cos A)

→ [(1 + cos A)/cos A] × [(1 - cos A)/(1 - cos A)]

→ (1 - cos² A)/cos A(1 - cos A)}

→ sin² A/cos A(1 - cos A)

→ sin A × (sin A/cos A) × 1/(1 - cos A)

→ (sin A tan A)/1 - cos A

$\sf \: This \: is \: the \: required \: answer!$