Question

Prove that
2 sin - sin 2
2 sin 0+ sin 20
Sin 2 0 -tan?​

Answer 1

o - sin(o) B +cos(O-- ks) (from Step 2) sin 2 2cos |a. (**) o sin ... Prove that: cos (), cos20.cos2°0...cos2"'0 = sing 0. 2" ... Prove that sin 0+ sin 20+ ...

Answer 2

Answer:

To Prove:(sin 0+cosec 0)2=sin20+cosec20+2

LHS-

(sin 0+ cosec 0)2

we know that,

(a+b)2=a2 + b2 +2ab

therefore,

(sin 0+ cosec 0)2

= sin20 + cosec20 + 2{sin 0(cosec 0)} ______________ 1

since,

cosec 0=1/sin 0

putting value of cosec 0 in 2{sin 0(cosec 0)} of eq.1.We get,

sin20 + cosec20 + {2(sin 0 *1/sin 0)}

=sin20 + cosec20 +2

=RHS

Hence,proved