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9. In a right triangle ABC, right-angled at B, if tan A = 1, then verify that 2 sin A cos A = 1.

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Tan A = 1 means A is 45 degrees. which means cosA = cos45 = 1/√2 and sinA = sin45 = 1/√2 therefore, 2sinAcosA = 2 * 1/√2 * 1/√2 = 2 * (1/2) = 1
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Tan A = 1 means A is 45 degrees.

which means cosA = cos45 = 1/√2 and sinA = sin45 = 1/√2

therefore, 2sinAcosA = 2 * 1/√2 * 1/√2

                               = 2 * (1/2)

                               = 1

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Online Mathematics tutor with 4 years experience(Online Classes for 10th to 12th)

Tan A = 1 means A is 45 degrees. which means cosA = cos45 = 1/√2 and sinA = sin45 = 1/√2 therefore, 2sinAcosA = 2 * 1/√2 * 1/√2 = 2 * (1/2) = 1
read more

Tan A = 1 means A is 45 degrees.

which means cosA = cos45 = 1/√2 and sinA = sin45 = 1/√2

therefore, 2sinAcosA = 2 * 1/√2 * 1/√2

                               = 2 * (1/2)

                               = 1

read less
Comments

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