Reduction formulas

{"buttons":[],"questions":[{"text":"$\\cos(90^\\circ-\\alpha)$?","answer":0,"explanation":"$\\cos(90^\\circ-\\alpha)$ = $\\sin \\alpha$","correct_text":"$\\sin \\alpha$","buttons":["$\\sin \\alpha$","$\\cos \\alpha$","$-\\sin \\alpha$","$-\\cos \\alpha$"]},{"text":"$\\cos(90^\\circ+\\alpha)$?","answer":0,"explanation":"$\\cos(90^\\circ+\\alpha)$=$-\\sin \\alpha$","correct_text":"$-\\sin \\alpha$","buttons":["$-\\sin \\alpha$","$\\sin \\alpha$","$-\\cos \\alpha$","$\\cos \\alpha$"]},{"text":"$\\cos(180^\\circ-\\alpha)$?","answer":0,"explanation":"$\\cos(180^\\circ-\\alpha)$=$-\\cos \\alpha$","correct_text":"$-\\cos \\alpha$","buttons":["$-\\cos \\alpha$","$\\cos \\alpha$","$-\\sin \\alpha$","$\\sin \\alpha$"]},{"text":"$\\sin(90^\\circ-\\alpha)$?","answer":0,"explanation":"$\\sin(90^\\circ-\\alpha)$=$\\cos \\alpha$","correct_text":"$\\cos \\alpha$","buttons":["$\\cos \\alpha$","$-\\cos \\alpha$","$-\\sin \\alpha$","$\\sin \\alpha$"]},{"text":"$\\sin(90^\\circ+\\alpha)$?","answer":0,"explanation":"$\\sin(90^\\circ+\\alpha)$=$\\cos \\alpha$","correct_text":"$\\cos \\alpha$","buttons":["$\\cos \\alpha$","$-\\cos \\alpha$","$-\\sin \\alpha$","$\\sin \\alpha$"]},{"text":"$\\sin(180^\\circ-\\alpha)$?","answer":0,"explanation":"$\\sin(180^\\circ-\\alpha)$=$\\sin \\alpha$","correct_text":"$\\sin \\alpha$","buttons":["$\\sin \\alpha$","$-\\sin \\alpha$","$-\\cos \\alpha$","$\\cos \\alpha$"]},{"text":"$\\tg(90^\\circ-\\alpha)$?","answer":0,"explanation":"$\\tg(90^\\circ-\\alpha)$=$\\ctg \\alpha$","correct_text":"$\\ctg \\alpha$","buttons":["$\\ctg \\alpha$","$-\\ctg \\alpha$","$\\tg \\alpha$","$-\\tg \\alpha$"]},{"text":"$\\tg(90^\\circ+\\alpha)$?","answer":0,"explanation":"$\\tg(90^\\circ+\\alpha)$=$-\\ctg \\alpha$","correct_text":"$-\\ctg \\alpha$","buttons":["$-\\ctg \\alpha$","$\\ctg \\alpha$","$\\tg \\alpha$","$-\\tg \\alpha$"]},{"text":"$\\tg(180^\\circ-\\alpha)$?","answer":0,"explanation":"$\\tg(180^\\circ-\\alpha)$=$-\\tg \\alpha$","correct_text":"$-\\tg \\alpha$","buttons":["$-\\tg \\alpha$","$\\tg \\alpha$","$-\\ctg \\alpha$","$\\ctg \\alpha$"]},{"text":"$\\ctg(180^\\circ-\\alpha)$?","answer":0,"explanation":"$\\ctg(180^\\circ-\\alpha)$=$-\\ctg \\alpha$","correct_text":"$-\\ctg \\alpha$","buttons":["$-\\ctg \\alpha$","$\\ctg \\alpha$","$-\\tg \\alpha$","$\\tg \\alpha$"]},{"text":"$\\ctg(90^\\circ+\\alpha)$?","answer":0,"explanation":"$\\ctg(90^\\circ+\\alpha)$=$-\\tg \\alpha$","correct_text":"$-\\tg \\alpha$","buttons":["$-\\tg \\alpha$","$\\tg \\alpha$","$-\\ctg \\alpha$","$\\ctg \\alpha$"]},{"text":"$\\ctg(90^\\circ-\\alpha)$?","answer":0,"explanation":"$\\ctg(90^\\circ-\\alpha)$=$\\tg \\alpha$","correct_text":"$\\tg \\alpha$","buttons":["$\\tg \\alpha$","$-\\tg \\alpha$","$\\ctg \\alpha$","$-\\ctg \\alpha$"]}],"no_uppercase":true}