sin30+tan45-cosec60by cot45+cos60-sec60
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16
Rationalising the denominator,
Answered by
0
Step-by-step explanation:
Rationalising the denominator,
\begin{gathered}\sf \implies \: \frac{3 \sqrt{3} - 4}{4 + 3 \sqrt{3} } \times \frac{3 \sqrt{3} - 4}{3 \sqrt{3} - 4 } \\\end{gathered}
⟹
4+3
3
3
3
−4
×
3
3
−4
3
3
−4
\begin{gathered}\sf \implies \: \frac{ {(3 \sqrt{3} - 4})^{2} }{ {(3 \sqrt{3} })^{2} - {(4)}^{2} } \\\end{gathered}
⟹
(3
3
)
2
−(4)
2
(3
3
−4)
2
\begin{gathered}\sf \implies \: \frac{27 + 16 - 24 \sqrt{3} }{27 - 16} \\\end{gathered}
⟹
27−16
27+16−24
3
\begin{gathered}\sf \implies \: \frac{43 - 24 \sqrt{3} }{11} \\\end{gathered}
⟹
11
43−24
3
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