74. (sec A+ tan A)(1 - sin A) is
equal to
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Answer:
cos A
Step-by-step explanation:
(sec A+ tan A)(1 - sin A)
{write sec A and tan A in terms of sinA and cosA}
= ( 1/ cos A+ sin A/ cos A)(1- sin A).
On further solving it,
= ( 1 + sin A/ cos A)( 1 - sin A).
Multiply the terms in both the brackets,
= ( 1 - sin^2 A )/ cos A.
Using ( sin^2A+ cos^2A = 1)
= cos ^2 A / cos A.
= cos A.
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