Math, asked by Anjali2126, 1 year ago

2 sin square 30 degree minus 3 cos square 45 degree + tan square 60 degree + 3 sin square 90

Answers

Answered by nikitagarg9
44
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Answered by gayatrikumari99sl
3

Answer:

2sin^2 30 - 3 cos^245 + tan^2 60 + 3 sin^2 90 = 5.

Step-by-step explanation:

Explanation:

Given that, 2 sin square 30 degrees minus 3 cos square 45 degrees + tan square 60 degrees + 3 sin square 90.

This can be written as,

2sin^2 30 - 3 cos^245 + tan^2 60 + 3 sin^2 90

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

{Where, sin30 = \frac{1}{2} , cos 45 = \frac{1}{\sqrt{2} } ,  and sin 90 = 1]

⇒ 2 × \frac{1}{4} - 3 × \frac{1}{2} + 3 + 3

\frac{1}{2} - \frac{3}{2} + 6

⇒  \frac{1- 3 + 12}{2} = \frac{10}{2} = 5

Final answer:

Hence, 5 is the required value of 2 sin square 30 degrees minus 3 cos square 45 degrees + tan square 60 degrees + 3 sin square 90.

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