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Problem 6

Carry out the indicated operations. (a) \((3-2 T)^{2}\) (b) \((3-2 \tan \theta)^{2}\)

Problem 7

Sketch each angle in standard position. (a) \(120^{\circ}\) (b) \(-120^{\circ}\) (c) \(300^{\circ}\)

Problem 7

Suppose that \(\triangle A B C\) is a right triangle with \(\angle C=90^{\circ}\) If \(A B=13\) and \(B C=5,\) compute the values of the six trigonometric functions of angle \(B\)

Problem 7

Carry out the indicated operations. (a) \((T+3)(T-2)\) (b) \((\tan \theta+3)(\tan \theta-2)\)

Problem 7

Convert to radian measure. Express your answers both in terms of \(\pi\)and as decimal approximations rounded to two decimal places. (a) \(0^{\circ}\) (b) \(360^{\circ}\) (c) \(450^{\circ}\)

Problem 8

Suppose that \(\triangle A B C\) is a right triangle with \(\angle C=90^{\circ}\) If \(A B=3\) and \(A C=1,\) compute the values of the six trigonometric functions of angle \(A\)

Problem 8

Sketch each angle in standard position. (a) \(450^{\circ}\) (b) \(-180^{\circ}\) (c) \(270^{\circ}\)

Problem 8

Convert to radian measure. Express your answers both in terms of \(\pi\)and as decimal approximations rounded to two decimal places. (a) \(36^{\circ}\) (b) \(35^{\circ}\) (c) \(720^{\circ}\)

Problem 8

Carry out the indicated operations. (a) \(\left(S^{2}-3\right)\left(S^{2}+3\right)\) (b) \(\left(\sec ^{2} \theta-3\right)\left(\sec ^{2} \theta+3\right)\)

Problem 9

Suppose that \(\triangle A B C\) is a right triangle with \(\angle C=90^{\circ}\) If \(A B=3\) and \(A C=1,\) compute the values of the six trigonometric functions of angle \(A\) If \(A C=1\) and \(B C=3 / 4,\) compute each quantity. (a) \(\sin B, \cos A\) (b) \(\sin A, \cos B\) (c) \((\tan A)(\tan B)\)

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