Find an angle \( \theta \) with \( 0^{\circ}<\theta<360^{\circ} \) that has the same: Sine function value as \( 210^{\circ} \) \( \theta=\square \) degrees Cosine function value as \( 210^{\circ} \) \( \theta=\square \) degrees

Simplify \( \frac{\csc (t)-\sin (t)}{\cot (t)} \) to a single trig function with no fractions.

Simplify to an expression involving a single trigonometric function with no fractions. \( \frac{\cos (-x)}{\tan (-x)}+\sin (-x) \)

Evaluate the expression \( \sin ^{-1}\left(\cos \left(\frac{7 \pi}{6}\right)\right) \)

Simplify \( \frac{1+\cot (t)}{1+\tan (t)} \) to a single trig function with no fractions.

Evaluate \( \sin \left(\cos ^{-1}\left(\frac{1}{4}\right)\right) \), giving your answer as an exact value (no decimals)