Advertisements
Advertisements
Question
(secA + tanA) (1 − sinA) = ______.
Options
sec A
sin A
cosec A
cos A
MCQ
Fill in the Blanks
Advertisements
Solution
(secA + tanA) (1 − sinA) = cos A.
Explanation:
(secA + tanA) (1 − sinA)
= `(1/cosA+sinA/cosA)(1-sinA)`
= `((1+sinA)/cosA)(1-sinA)`
= `(1-sin^2A)/(cosA)`
= `(cos^2A)/cos A`
= cosA
Hence, alternative cosA is correct.
shaalaa.com
Is there an error in this question or solution?
Chapter 8: Introduction to Trigonometry - EXERCISE 8.3 [Page 131]
