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Express sec A − tan A · sin A in its simplest form.

Class 10Trigonometric IdentitiesTrigonometry

Acos A
Bsec A
Csin A
D1

Step-by-Step Solution

tan A · sin

A

= si

n^{2}

A/cos A, so sec A − si

n^{2}

A/cos

A

= (1 − si

n^{2}

A)/cos

A

= co

s^{2}

A/cos

A

= cos A.

Answer: A) cos A

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