Find an angle \( \theta \) with \( 0^{\circ}<\theta<360^{\circ} \) that has the same Sine function value as \( 290^{\circ} \) \( \theta=\square \) degrees

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

Simplify \( \frac{\cos ^{2}(t)}{\sin ^{2}(t)+\cos ^{2}(t)} \) to an expression involving a single trig function with no fractions.

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

Determine the value of \( \sin ^{2} x+\cos ^{2} x \) for \( x=15 \) degrees.

Fill in the blanks: 1. If \( \tan x=-0.5 \) then \( \tan (-x)=\square \) 2. If \( \sin x=0.9 \) then \( \sin (-x)=\square \) 3. If \( \cos x=0.4 \) then \( \cos (-x)=\square \)