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EVAIUATE: (SIN TITAR+COS TITAR) POWER 2 +(COS TITAR-SIN TITAR) POWER 2 |
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Answer» Answer is 2. Step-by-step explanation: Given, (sin∅+cos∅)² + (cos∅ - sin∅)² sin²∅+cos²∅+2.sin∅.cos∅+cos²∅+sin²∅- 2.cos∅.sin∅ [Since (sin∅+cos∅)²=(a+b)² = a²+b²+2ab & (cos∅-sin∅)²=(a-b)² = a²+b²-2ab formula.] = sin²∅ + cos²∅ + cos²∅ + sin²∅ (Since +2.sin∅.cos∅ & -2.cos∅.sin∅ are cancel...,) = 1 + 1. [Since sin²∅+cos²∅ (or) cos²∅+sin²∅=1 IDENTITY] = 2 :. (sin∅+cos∅)² + (cos∅+sin∅)² = 2. |
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