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Question 12.
Without using trigonometrical tables, evaluate:
cosec2 57° – tan233° + cos 44° cosec46° – \(\sqrt{2}\)cos45° – tan260°
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\(\frac{\cot A-1}{2-\sec ^{2} A}=\frac{\cot A}{1+\tan A}\)
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To prove that : \(\frac{\cot A-1}{2-\sec ^{2} A}=\frac{\cot A}{1+\tan A}\)
Hence proved.
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Question 17.
Evaluate without using trigonometric tables,
sin2 28° + sin2 62° + tan2 38° – cot2 52° + \(\frac{1}{4}\)sec2 30°
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