The angle t is an acute angle and sin t and cos t are given. Use identities to f

Question

The angle t is an acute angle and sin t and cos t are given. Use identities to find tan t, csc t, sec t, and cot t. Where necessary, rationalize denominators. sin t = 2/7, cos t = 3 Squareroot 5/7 tan t = (Simplify your answer including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.) csc t = (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression. Rationalize all denominators) sec t = (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression. Rationalize all denominators) cot t = (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression. Rationalize all denominators.)

Explanation / Answer

tant = sint/cost = (2/7) / 3sqrt(5)/7 )

= 2/3sqrt(5)

csct = 1/sint = 7/2

sect = 7/3sqrt5

cot = 1/tant =3sqrt5/2

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