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CBSE Class 10 Answered

if 4 tan theta = 3, then find the value of 4 sin theta - cos theta / 4 sin theta + cos theta.
Asked by nisha_vini29 | 07 Sep, 2015, 09:49: PM
answered-by-expert Expert Answer

G i v e n space t h a t space 4 tan theta equals 3 rightwards double arrow fraction numerator 4 sin theta over denominator cos theta end fraction equals 3 rightwards double arrow fraction numerator 4 s i n theta over denominator c o s theta end fraction equals 3 over 1 A p p l y i n g space c o m p o n e n d o space d i v i d e n d o comma space w e space h a v e comma rightwards double arrow fraction numerator 4 s i n theta minus cos theta over denominator 4 s i n theta plus c o s theta end fraction equals fraction numerator 3 minus 1 over denominator 3 plus 1 end fraction rightwards double arrow fraction numerator 4 s i n theta minus c o s theta over denominator 4 s i n theta plus c o s theta end fraction equals 2 over 4 rightwards double arrow fraction numerator 4 s i n theta minus c o s theta over denominator 4 s i n theta plus c o s theta end fraction equals 1 half

Answered by | 09 Sep, 2015, 06:08: PM

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