if a is an acute angle then value of sec A(1-sin A)(sec A+tan A) is
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Step-by-step explanation:
(secA+tanA)(1−sinA)
=(
cosA
1
+
cosA
sinA
)(1−sinA)
=(
cosA
1+sinA
)(1−sinA)
=
cosA
(1+sinA)(1−sinA)
=
=
cosA
(1−sin
2
A)
=
cosA
cos
2
A
=cosA
∴(secA+tanA)(1−sinA)=cosA
Hence, the answer is cosA
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