(Sect A+ tanA) (1- sin A)
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➡ (sec A + tan A) (1 - sin A)
- sec ø = 1/cos ø
- tan ø = sin ø/cos ø
➡ (1/cos A + sin A/cos A) (1 - sin A)
➡ [ (1 + sin A) /cos A) ] (1 - sin A)
➡ [ (1 + sin A) (1 - sin A) /cos A ]
- (a + b) (a - b) = a² - b²
➡ (1 - sin² A) /cos A
- 1 - sin² ø = cos² ø
➡ cos² A/cos A
➡ cos A
Therefore, " (Sec A+ tanA) (1- sin A) = cos A "
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Step-by-step explanation:
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