Archive
16th of September 2015
Mathematics
Q:

if 3 tan theta =4, evaluate 3 sin +2 cos/3sin - 2cos

Syed Rais - CBSE - Class X

Tuesday, September 15, 2015 at 20:50:PM

A:

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

Wednesday, September 16, 2015 at 18:10:PM