Test 1 – Remote Honorlock Instructions. Work all problems on…

Test 1 - Remоte Hоnоrlock Instructions. Work аll problems on blаnk pаper. Show enough work to justify your answers. Give exact answers unless a decimal is specifically requested. Scientific calculators are not required. Upload requirement. After completing the exam, scan or photograph your written work, combine everything into one PDF file, and upload that single PDF file for this question before submitting the quiz. Reference Values (theta) (0^circ) (30^circ) (45^circ) (60^circ) (90^circ) (180^circ) (sintheta) (0) (frac{1}{2}) (frac{sqrt{2}}{2}) (frac{sqrt{3}}{2}) (1) (0) (costheta) (1) (frac{sqrt{3}}{2}) (frac{sqrt{2}}{2}) (frac{1}{2}) (0) (-1) (tantheta) (0) (frac{sqrt{3}}{3}) (1) (sqrt{3}) undefined (0) Questions Convert each angle. Convert (225^circ) to radians. Convert (-frac{5pi}{6}) to degrees. Find one positive coterminal angle for (-frac{7pi}{4}). A circle has radius (12) cm and central angle (frac{pi}{3}). Find the arc length and the area of the sector. In a right triangle, relative to angle (theta), the opposite side is (7) and the adjacent side is (24). Find all six trigonometric functions of (theta). Solve the right triangle. One acute angle is (30^circ) and the hypotenuse is (14). Find the two legs. The terminal side of an angle (theta) in standard position passes through ((-5,12)). Find (sintheta), (costheta), and (tantheta). Find the exact value of each expression. [sin 120^circ,qquad cos 210^circ,qquad tan 315^circ,qquad sec 180^circ.] Find the exact value of each inverse-trigonometric expression. [sin^{-1}!left(-frac{sqrt{2}}{2}right),qquad cos^{-1}!left(-frac{1}{2}right),qquad tan^{-1}(sqrt{3}).] Find the exact value of (tan!left(cos^{-1}!left(frac{3}{5}right)right)). Find all angles (theta) with (0^circ leq theta leq 180^circ) satisfying each equation. (sintheta=frac{sqrt{3}}{2}) (costheta=-frac{1}{2}) (tantheta=-1) In triangle (ABC), suppose (A=45^circ), (B=60^circ), and (a=6sqrt{2}). Find (C) and (b). Decide whether the SSA information gives no triangle, one triangle, or two triangles. Explain briefly. [A=30^circ,qquad a=8,qquad b=12.] Use the Law of Cosines to find the missing side (x). The two known sides are (5) and (7), and the included angle is (60^circ). A triangle has side lengths (5), (5), and (6). Use Heron's Formula to find its area. Final step: Upload exactly one combined PDF file containing your complete written work and final answers.