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Help me fast ( prove it) class 8
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Help me fast ( prove it) class 8

Help me fast ( prove it) class 8-example-1
User Aprillion
by
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1 Answer

4 votes

Answer:

see explanation

Explanation:

Consider the left side


(cosA)/(1-sinA) +
(cosA)/(1+sinA)

=
(cosA(1+sinA)+cosA(1-sinA))/((1-sinA)(1+sinA))

=
(cosA+cosAsinA+cosA-cosAsinA)/(1-sin^2A)

=
(2cosA)/(cos^2A) ← cancel cosA on numerator/ denominator

= 2 ×
(1)/(cosA)

= 2secA

= right side, thus proven

User Benjamin Cassidy
by
5.4k points
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