Solve (a) \(\sin \theta=0.3510,0^{\circ} \leq \theta \leq 360^{\circ}\) (b) \(\sin \theta=0.4161,0 \leq \theta \leq 2 \pi\) (c) \(\cos t=-0.3778,0 \leq t \leq 2 \pi\) (d) \(\cos x=0.7654,0^{\circ} \leq x \leq 360^{\circ}\) (e) \(\tan y=1.7136,0^{\circ} \leq y \leq 360^{\circ}\) (f) \(\tan y=-0.3006,0^{\circ} \leq y \leq 360^{\circ}\)

a) \(\sin\theta=0.3510\) in the range \(0^{\circ} \leq \theta \leq 360^{\circ}\) The possible angles are \(\theta_1\approx20.62^{\circ}\) and \(\theta_2\approx159.38^{\circ}\). b) \(\sin\theta=0.4161\) in the range \(0 \leq \theta \leq 2\pi\) The possible angles are \(\theta_1\approx0.4327\) and \(\theta_2\approx2.7089\) radians. c) \(\cos t=-0.3778\) in the range \(0 \leq t \leq 2\pi\) The possible angles are \(t_1\approx1.9802\) and \(t_2\approx5.1218\) radians. d) \(\cos x=0.7654\) in the range \(0^{\circ} \leq x \leq 360^{\circ}\) The possible angles are \(x_1\approx40.06^{\circ}\) and \(x_2\approx319.94^{\circ}\). e) \(\tan y=1.7136\) in the range \(0^{\circ} \leq y \leq 360^{\circ}\) The possible angles are \(y_1\approx59.96^{\circ}\) and \(y_2\approx239.96^{\circ}\). f) \(\tan y=-0.3006\) in the range \(0^{\circ} \leq y \leq 360^{\circ}\) The possible angles are \(y_2\approx343.11^{\circ}\) and \(y_3\approx163.11^{\circ}\).