Question

If cosec a=2, then obtain the value of cot a + sin a÷1+cos a​

Answer 1

Answer:

csc A = 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)

2√3+4)/(2+√3)

= (2(2+√3)/(2+√3))

= 2