Question

If cosec A = 2 then tha value of cot A +Sina /1+cosA​

Answer 1

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Answer:

2

Step-by-step explanation:

If cosec A = 2,

Then find value of cot A + (sin A / (1 + cos A))

cosec 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(2+√3)/(2+√3))

= 2

Answer 2

Answer:

Step-by-step explanation:

cosec A=2

sin A=1/2

sin A = sin 30

A= 30

cot A+ sin A/1+cos A

cot 30 + (sin 30)/1+cos 30

root3 + (1/2)/(1+ root3/2)

root3+(1/2)/(2+ root3/2)

root3 +1/(1+ root 3)

root 3 + (1- root 3)/(1²-root3²)

root 3+(1-root3)/-2

root3-(1-root3)/2

(2(root 3)-1 -(root 3))2

((root3)-1)/2