Question

(sin a + tan a) ×( 1- sin a) =0​

Answer 1

Answer:

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Step-by-step explanation:

(secA+tanA)(1−sinA)

=(cosA1+cosAsinA)(1−sinA)

=(cosA1+sinA)(1−sinA)

=cosA(1+sinA)(1−sinA)=

=cosA(1−sin2A)

=cosAcos2A=cosA

∴(secA+tanA)(1−sinA)=cosA

Hence, the answer is cosA.