Sin2theta×sin2phi+sin2theta×cos2phi+cos2theta×sin2phi+cos2theta×cos2phi+3cosec4theta-3cot4theta-6cot2theta

Asked by Chelsea Dhawan | 11th Oct, 2014, 07:46: PM

Expert Answer:

sin squared theta. sin squared phi plus sin squared theta. cos squared phi plus cos squared theta. sin squared phi plus cos squared theta. cos squared phi plus 3 cos e c to the power of 4 theta minus 3 c o t to the power of 4 theta minus 6 c o t squared theta equals sin squared theta left parenthesis sin squared phi plus cos squared phi right parenthesis space plus space c os squared theta left parenthesis sin squared phi plus space cos squared phi right parenthesis plus 3 cos e c to the power of 4 theta minus 3 c o t to the power of 4 theta minus 6 c o t squared theta equals sin squared theta plus space c os squared theta plus 3 left parenthesis cos e c squared theta minus c o t squared theta right parenthesis left parenthesis cos e c squared theta plus c o t squared theta right parenthesis minus 6 c o t squared theta equals sin squared theta plus space c os squared theta plus 3 cross times 1 cross times left parenthesis cos e c squared theta plus c o t squared theta right parenthesis minus 6 c o t squared theta equals 1 plus 3 cos e c squared theta plus 3 c o t squared theta minus 6 c o t squared theta equals 1 plus 3 cos e c squared theta minus 3 c o t squared theta equals 1 plus 3 left parenthesis cos e c squared theta minus c o t squared theta right parenthesis equals 1 plus 3 cross times 1 equals 4

Answered by Prasenjit Paul | 13th Oct, 2014, 11:02: AM