Question

If sin theta is equal to root 3 by 2 then (cosec theta+ cot theta)is equal to ? Without using the table.

Answer 1

Answer:

$\huge\bold\star\green{Answer}\star$

Hey Mate Here is ur Answer

sin @ = root3/2

cosec@+cot @ = ? --------(i)

1/ sin@ +cos @ /sin@ =

1 + cos@ /sin@ =

1+ cos @ /root3/2=

2 (1 + cos @)/root3 =

2 +2 cos@ = root3

2 cos @ = root 3 - 2

cos @= root3 -2 /2

On putting the value in the equation (i)

2/ root 3 + root3 -2/2/root 3 /2

2 /root 3+( root 3-2) / root 3

2+ root 3 -2 / root 3

root 3 / root 3

1

Answer 2

Answer:

  sin∅ = √3/2 which is equal to sin60°

∴ ∅ = 60°

∴ cosec∅ + cot∅ = cosec60° + cot60°

                             = 2/√3 + 1/√3

                             = 3/√3                           hint: 3 = √3 x √3

                             =√3 is the answer

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