1.

\operatorname { sec } A = \frac { 5 } { 4 } , \text { verify that } \frac { 3 \operatorname { sin } A - 4 \operatorname { sin } ^ { 3 } A } { 4 \operatorname { cos } ^ { 3 } A - 3 \operatorname { cos } A } = \frac { 3 \operatorname { tan } A - \operatorname { tan } ^ { 3 } A } { 1 - 3 \operatorname { tan } ^ { 2 } A }

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