Question

If 3 sinA=cosA find the value of SinA×tanA(1+cotA)/sinA+cosA​

Answer 1

sin(a)=cos(a)

sin(a)

cos(a)

=

3

cot(a)=

3

oncomparing

a=30

now

sin(a).tan(a).

sin(a)+cos(a)

(1+cot(a))

=sin(30).tan(30).

sin(30)+cos(30)

1+cot(30)

2

1

×

3

1

×

2

1

+

2

3

1+

3

=

2

3

1

×

2

1+

3

1+

3

2

3

1

×1+

3

×

1+

3

2

=

3

1

onrationalisingweget

3

3