The value of the expression √3 cosec 20° -sec 20° is equal to

Question

The value of the expression √3 cosec 20° -sec 20° is equal to (A) 2 (B) 2 sin 20° /sin 40°  (C) 4 (D) 4sin 20°/sin 40°

Tardigrade Admin · Accepted Answer

√3 csoec 20° -sec20° =tan 60° cosec20° -sec20° =(sin60° cos20°-cos60°. sin20°/cos60°.sin20°.cos20°) =(sin(60°-20°)/cos60°.sin20°)=(sin40°/(1)4.sin20° cos20°) =(2sin20° cos20°/(1)2 sin 20° cos 20°)=4

Q. The value of the expression $3 cosec 2 0^{\circ} - sec 2 0^{\circ}$ is equal to

2

$2 s in 2 0^{\circ} / s in 4 0^{\circ}$

4

$4 s in 2 0^{\circ} / s in 4 0^{\circ}$

Q. The value of the expression 3​cosec20∘−sec20∘is equal to

2

2sin20∘/sin40∘

4

4sin20∘/sin40∘

3​csoec20∘−sec20∘ =tan60∘cosec20∘−sec20∘ =cos60∘.sin20∘.cos20∘sin60∘cos20∘−cos60∘.sin20∘​ =cos60∘.sin20∘sin(60∘−20∘)​=41​.sin20∘cos20∘sin40∘​ =21​sin20∘cos20∘2sin20∘cos20∘​=4

Q. The value of the expression $3 cosec 2 0^{\circ} - sec 2 0^{\circ}$ is equal to

$2 s in 2 0^{\circ} / s in 4 0^{\circ}$

$4 s in 2 0^{\circ} / s in 4 0^{\circ}$