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13. [-/1 Points] DETAILS MCKTRIG8 1.5.081. Show that the following statement is an identity by transforming the left side into the right side. csc ? - sin ? = cos^2 ? / sin ? We begin by writing the left side in terms of sin ? and cos ?. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. csc ? - sin ? = (1 / sin ?) - sin ? = (1 - sin^2 ?) / sin ? = cos^2 ? / sin ? Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc ? - sin ? = cos^2 ? / sin ? is an identity. 14. [-/1 Points] DETAILS MCKTRIG8 1.5.091. Show that the following statement is an identity by transforming the left side into the right side. sin ? (sec ? + csc ?) = tan ? + 1 We begin by writing the left side in terms of sin ? and cos ?. We can then perform the multiplication and simplify in terms of tan ?. sin ? (sec ? + csc ?) = sin ? ( (1 / cos ?) + (1 / sin ?) ) = (sin ? / cos ?) + (sin ? / sin ?) = tan ? + 1 Because we have succeeded in transforming the left side into the right side, we have shown that the statement sin ? (sec ? + csc ?) = tan ? + 1 is an identity.

          13. [-/1 Points] DETAILS MCKTRIG8 1.5.081. Show that the following statement is an identity by transforming the left side into the right side. csc ? - sin ? = cos^2 ? / sin ? We begin by writing the left side in terms of sin ? and cos ?. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. csc ? - sin ? = (1 / sin ?) - sin ? = (1 - sin^2 ?) / sin ? = cos^2 ? / sin ? Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc ? - sin ? = cos^2 ? / sin ? is an identity. 14. [-/1 Points] DETAILS MCKTRIG8 1.5.091. Show that the following statement is an identity by transforming the left side into the right side. sin ? (sec ? + csc ?) = tan ? + 1 We begin by writing the left side in terms of sin ? and cos ?. We can then perform the multiplication and simplify in terms of tan ?. sin ? (sec ? + csc ?) = sin ? ( (1 / cos ?) + (1 / sin ?) ) = (sin ? / cos ?) + (sin ? / sin ?) = tan ? + 1 Because we have succeeded in transforming the left side into the right side, we have shown that the statement sin ? (sec ? + csc ?) = tan ? + 1 is an identity.

$13. [-/1 Points] DETAILS MCKTRIG8 1.5.081. Show that the following statement is an identity by transforming the left side into the right side. csc ? - sin ? = cos^2 ? / sin ? We begin by writing the left side in terms of sin ? and cos ?. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. csc ? - sin ? = (1 / sin ?) - sin ? = (1 - sin^2 ?) / sin ? = cos^2 ? / sin ? Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc ? - sin ? = cos^2 ? / sin ? is an identity. 14. [-/1 Points] DETAILS MCKTRIG8 1.5.091. Show that the following statement is an identity by transforming the left side into the right side. sin ? (sec ? + csc ?) = tan ? + 1 We begin by writing the left side in terms of sin ? and cos ?. We can then perform the multiplication and simplify in terms of tan ?. sin ? (sec ? + csc ?) = sin ? ( (1 / cos ?) + (1 / sin ?) ) = (sin ? / cos ?) + (sin ? / sin ?) = tan ? + 1 Because we have succeeded in transforming the left side into the right side, we have shown that the statement sin ? (sec ? + csc ?) = tan ? + 1 is an identity.$

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