Advertisements
Advertisements
Question
If A + C = 2B, then `(cos C - cos A)/(sin A - sin C)` is equal to ______.
Options
cot B
cot 2B
tan 2B
tan B
MCQ
Fill in the Blanks
Advertisements
Solution
If A + C = 2B, then `(cos C - cos A)/(sin A - sin C)` is equal to tan B.
Explanation:
`(cos C - cos A)/(sin A - sin C)`
= `(2 sin ((A + C)/2) sin ((A - C)/2))/(2 cos ((A + C)/2) sin((A - C)/2)`
= `(2 sin B)/(2 cos B)` ...[∵ A + C = 2B]
= tan B
shaalaa.com
Conversion Formulae in Trigonometry
Is there an error in this question or solution?
