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What is the value oftan45/2 =? |
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Answer» Step-by-step explanation: 22½° lies in the first quadrant. Hence it is positive.. tan (2 x 22.5)= [2TAN (22.5)]/[1 - tan²22.5] tan 45 [1 - tan²22.5] = 2tan 22.5 1 - tan²22.5 = 2tan 22.5 Let x = tan 22.5 1 - x² = 2X x² + 2x - 1 = 0 x = [- 2 ± √(8)]/2 x = - 1 ± √(2) but it is in the first quadrant so.. its value MUST be positive tan 22.5 = - 1 + √(2).. Hope it HELPS.. Please MARK it brainliest... |
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