Archive
9th of September 2015
Mathematics
Q:

if 4 tan theta = 3, then find the value of 4 sin theta - cos theta / 4 sin theta + cos theta.

Nisha_vini29 - CBSE - Class X

Monday, September 07, 2015 at 21:49:PM

A:

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

Wednesday, September 09, 2015 at 18:08:PM