Question

2 sin 30 + 2 Tan 45 - 3 cos 60 - 2 cos ²30​

Answer 1

Answer :

2 sin 30 + 2 Tan 45 - 3 cos 60 - 2 cos ²30 = 0

Solution :

→ 2 sin 30 + 2 Tan 45 - 3 cos 60 - 2 cos² 30

→ 2(1/2) + 2(1) - 3(1/2) - 2(√3/2)²

→ 1 + 2 - 3/2 - 3/2

→ 1 + 2 - 3

→ 3 - 3

→ 0

Answer 2

Question :

2 sin 30 + 2 Tan 45 - 3 cos 60 - 2 cos ²30 = ?

Answer :

• Refer above attachment for values.

$\sin(30) = \frac{1}{2}$

$\tan(45) = 1$

$\cos(60) = \frac{1}{2}$

$\cos(30) = \frac{ \sqrt{3} }{2}$

• by placing these values in given equation , we get ;

$2( \frac{1}{2} ) + 2(1) - 3 (\frac{1}{2} ) - 2 {( \frac{ \sqrt{3} }{2} )}^{2}$

$\implies \: 1 + 2 - \frac{3}{2} - \frac{3}{2}$

$\implies \: 3 \: - \frac{2 \times 3}{2}$

$\implies \: 3 - 3$

$\implies \: 0$