Question
Download Solution PDFThe value of (sec A + tan A) (1 - sin A) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The value of (sec A + tan A) (1 - sin A)
Formula used:
sin2A + Cos2A = 1
(a + b) (a - b) = (a2 - b2)
Calculation:
⇒ (sec A + tan A) (1 - sin A)
⇒ (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
⇒ (1 - sin2 A)/cos A
We know, 1 - sin2 A = cos2 A
⇒ cos2 A / cos A = cos A
∴ The correct answer is option 2.
Last updated on Jun 30, 2025
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