Without using trigonometric tables, find the value of the following ex

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30) Without using trigonometric tables, evaluate the following:n( frac{cos ^{2} 20^{circ}+cos ^{2} 70^{circ}}{cos ^{2} 500} )n( frac{1}{sec ^{2} 50^{circ}-cot ^{2} 40^{circ}}+2 csc ^{2} 58^{circ}-2 cot 58^{circ} tan 32^{circ}- )n( 13^{circ} tan 37^{circ}

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