Evaluate the following - sin2 30- cos2 45- - 4 tan2 30- - 12 sin2 90- - 2cos2 90- - 124 cos2 0-

sin^2 30^∘ cos^2 45^∘ + 4 tan^2 30^∘ + 12 sin^2 90^∘ 2cos^2 90^∘ + 124 cos^2 0^∘ =(12)^2(1√(2))^2+4(1√(3))^2+(12)(1)^2 2( ...

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Range of Trigonometric Ratios from 0 to 90 Degrees

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Question

Evaluate the following :
$s i n^{2} 30^{\circ} c o s^{2} 45^{\circ} + 4 t a n^{2} 30^{\circ} + \frac{1}{2} s i n^{2} 90^{\circ} - 2 c o s^{2} 90^{\circ} + \frac{1}{24} c o s^{2} 0^{\circ}$

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Evaluate each of the following

$s i n^{2} 30^{o} + s i n^{2} 45^{o} + 4 t a n^{2} 30^{o} + \frac{1}{2} s i n^{2} 90^{o} - 2 c o s^{2} 90^{o} + \frac{1}{24} c o s^{2} 0^{o}$

{sin}^{2} 90. {cos}^{2} 45 + 4 {tan}^{2} 30 + \frac{1}{2} {sin}^{2} a - 2 {cos}^{2} 90 + \frac{1}{24}

(i) s i n^{2} 30^{\circ} . c o s^{2} 45^{\circ} + 4 t a n^{2} 30^{\circ} + \frac{1}{2} s i n^{2} 90^{\circ} + \frac{1}{8} c o t^{2} 60^{\circ}

(i i) \frac{t a n^{2} 60^{\circ} + 4 s i n^{2} 45^{\circ} + 3 s e c^{2} 30^{\circ} + 5 c o s^{2} 90^{\circ}}{c o s e c 30^{\circ} + s e c 60^{\circ} - c o t^{2} 30^{\circ}}

\frac{1}{2} \sin^{2} 90 ° - 2 \cos^{2} 90 ° + \frac{1}{24} \cos^{2} 0 °

(\sin^{2} 30 ° \cos^{2} 45 ° + 4 \tan^{2} 30 ° + \frac{1}{2} \sin^{2} 90 ° + \frac{1}{8} \cot^{2} 60 °) = ?

\frac{5}{2}

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