Question

2 sin² 30° – 3 cos² 45º + tan² 60°​

Answer 1

Answer:

2

Step-by-step explanation:

2(1/2)2 - 3(1/root2)2 + (root3)2

2/4 - 3/2 + 3

1/2 - 3/2 + 3

1-3/2 + 3

-2/2 + 3

-1 + 3

= 2

Answer 2

As we know that :

sin30° = 1/2, cos45° = 1/√2 and tan60° = √3

Then,

$2 { \sin}^{2} 30 - 3 { \cos }^{2} 45 + { \tan}^{2} 60 \\ \\ = > 2 \times {( \frac{1}{2}) }^{2} - 3 \times {( \frac{1}{ \sqrt{2} }) }^{2} + {( \sqrt{3}) }^{2} \\ \\ = > \frac{1}{2} - \frac{3}{2} + 3 \\ \\ = > \frac{1 - 3 + 6}{2} = 2$

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