If cosec A =2 show that (cotA + sin A /1+cos A) =2
Answers
Answered by
11
CosecA = 2=1/sinA
sinA=1/2
A=30˚
cot A + (sin A / (1 + cos A))
cot30˚+(sin30˚/(1+cos30˚))
√3+((1/2)/(1+√3/2)
√3+((1/2)/((2+√3)/2)
√3+((1/2)/((2+√3)/2)
√3+(1/(2+√3))
(2√3+3+1)/(2+√3)
(2√3+4)/(2+√3)
Then factorize this...
sinA=1/2
A=30˚
cot A + (sin A / (1 + cos A))
cot30˚+(sin30˚/(1+cos30˚))
√3+((1/2)/(1+√3/2)
√3+((1/2)/((2+√3)/2)
√3+((1/2)/((2+√3)/2)
√3+(1/(2+√3))
(2√3+3+1)/(2+√3)
(2√3+4)/(2+√3)
Then factorize this...
Similar questions