Math, asked by ragini8892, 11 months ago

4 into sin square 60 degree minus cos square 45 degree by tansquare 30 degree + cos square 90 degree​

Answers

Answered by jsksnsksjej
4

Answer:

your solution is as given in the attachment below

Step-by-step explanation:

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Attachments:
Answered by mysticd
4

Answer:

\frac{4sin^{2}60-cos^{2}45}{tan^{2}30+cos^{2}90}=\frac{15}{2}

Step-by-step explanation:

\frac{4sin^{2}60-cos^{2}45}{tan^{2}30+cos^{2}90}

=\frac{4\times \left(\frac{\sqrt{3}}{2}\right)^{2}-\left(\frac{1}{\sqrt{2}}\right)^{2}}{\left(\frac{1}{\sqrt{3}}\right)^{2}+0}

=\frac{4\times \frac{3}{4}-\frac{1}{2}}{\frac{1}{3}}

=\frac{3-\frac{1}{2}}{\frac{1}{3}}

=\frac{6-1}{2}\times \frac{3}{1}\\=\frac{5}{2}\times 3\\=\frac{15}{2}\\=7.5

Therefore,

\frac{4sin^{2}60-cos^{2}45}{tan^{2}30+cos^{2}90}=\frac{15}{2}

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