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Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSTrigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]2 Marks
Question
find the value of$:\sin^2 30^\circ+ \cos^2 30^\circ+ \cot^2 45^\circ$
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Answer

$\sin^2 30^\circ + \cos^230^\circ + \cot^2 45^\circ =$
$\left(\frac{1}{2}\right)^2+\left(\frac{\sqrt{3}}{2}\right)^2+1^2$
$=\frac{1}{4}+\frac{3}{4}+1$
$=2$

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