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The following expression was simplified incorrectly. In which line error first made when
simplifying the identity shown below? 1 + sec(-theta)/sin(-theta) + tan(-theta) = 1 - sec theta/sin
theta - tan theta = 1 - sec theta/sin theta [1 - (1/cos theta)] = 1 - sec theta/sin theta (1 - sec theta) =
1/sin theta = csc theta
Solution
we know that sin(-theta) = -sin (theta )
hence the mistake was first identified in the line 1

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  • 1. The following expression was simplified incorrectly. In which line error first made when simplifying the identity shown below? 1 + sec(-theta)/sin(-theta) + tan(-theta) = 1 - sec theta/sin theta - tan theta = 1 - sec theta/sin theta [1 - (1/cos theta)] = 1 - sec theta/sin theta (1 - sec theta) = 1/sin theta = csc theta Solution we know that sin(-theta) = -sin (theta ) hence the mistake was first identified in the line 1