JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

1 Easy

1 of 1

Analyzing +4 | -1

\tan \,\,x = \frac{{2b}}{{a - c}},\,\;a \ne c

and

y = a\,\,{\cos ^2}\,x\,\, + \,\,2b\,\,\sin \,\,x\,\,\cos \,\,x\,\, + \,\,c\,\,{\sin ^2}\,x

z = a\,\,{\sin ^2}\,x\,\, - \,\,2b\,\,\sin \,\,x\,\,\cos \,\,x\,\, + \,\,c\,\,{\cos ^2}\,x

, then

View answer and explanation

Correct option: C

y - z = a - c

Option C (

y - z = a - c

) is correct because simplifying the expression

y - z

using trigonometric identities and the given condition

\tan x = \frac{{2b}}{{a - c}}

leads to the result

a - c

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