Tan2theeta-Sin2theta=Tan2theta Sin2theta

Asked by Sahaj | 18th Jun, 2017, 11:11: PM

Expert Answer:

begin mathsize 16px style LHS equals tan squared straight theta minus sin squared straight theta
equals fraction numerator sin squared space straight theta over denominator cos squared straight theta end fraction minus sin squared space straight theta
equals fraction numerator sin squared space straight theta minus sin squared space θcos squared straight theta over denominator cos squared straight theta end fraction
equals fraction numerator sin squared space straight theta left parenthesis 1 minus cos squared straight theta right parenthesis over denominator cos squared straight theta end fraction
equals fraction numerator sin squared space straight theta cross times sin squared straight theta over denominator cos squared straight theta end fraction
equals fraction numerator sin squared space straight theta over denominator cos squared straight theta end fraction cross times sin squared space straight theta
equals tan squared straight theta cross times sin squared straight theta
equals RHS
end style

Answered by Rashmi Khot | 19th Jun, 2017, 09:40: AM