e-a764-435a-b5cd-4da711c4643b","topicSlug":"trigonometry-2","cards":[{"id":"b05246d8-b863-443d-a5cd-00e5a82cc0dc","cardType":"basic","front":"Which side is the hypotenuse in a right-angled triangle?","back":"The longest side, opposite the right angle.","points":1,"mcqOptions":null},{"id":"a91e245e-ef81-4a08-83fe-f6c6c443fde8","cardType":"cloze","front":"For an acute angle, $\\sin\\theta=$ $\\text{[...]}$.","back":"For an acute angle, $\\sin\\theta=$ $\\boxed{\\frac{\\text{opposite}}{\\text{hypotenuse}}}$.","points":null,"mcqOptions":null},{"id":"1d10b534-f6e2-48d5-bdc5-73ed489025b2","cardType":"cloze","front":"For an acute angle, $\\cos\\theta=$ $\\text{[...]}$.","back":"For an acute angle, $\\cos\\theta=$ $\\boxed{\\frac{\\text{adjacent}}{\\text{hypotenuse}}}$.","points":null,"mcqOptions":null},{"id":"efdf8b1b-e855-4163-ad5c-f0a94ecbaab0","cardType":"cloze","front":"For an acute angle, $\\tan\\theta=$ $\\text{[...]}$.","back":"For an acute angle, $\\tan\\theta=$ $\\boxed{\\frac{\\text{opposite}}{\\text{adjacent}}}$.","points":null,"mcqOptions":null},{"id":"e6c8f4e0-6f36-4527-8719-4dce10404087","cardType":"basic","front":"On the unit circle, which coordinate gives $\\cos\\theta$?","back":"The $x$-coordinate.","points":1,"mcqOptions":null},{"id":"59c7c304-e2c1-49d9-aca4-6822765cdab6","cardType":"basic","front":"On the unit circle, which coordinate gives $\\sin\\theta$?","back":"The $y$-coordinate.","points":1,"mcqOptions":null},{"id":"0bc0326b-91bd-4186-880f-602af53998e4","cardType":"basic","front":"How is $\\tan\\theta$ calculated from sine and cosine?","back":"$\\tan\\theta=\\frac{\\sin\\theta}{\\cos\\theta}$.","points":1,"mcqOptions":null},{"id":"1d2edd13-b11e-48b0-b823-3a1c4e881209","cardType":"cloze","front":"Every angle satisfies the identity $\\text{[...]}$.","back":"Every angle satisfies the identity $\\boxed{\\sin^2\\theta+\\cos^2\\theta=1}$.","points":null,"mcqOptions":null},{"id":"6e46e015-ca5a-4d98-a2af-6f461083e2fa","cardType":"basic","front":"What is the relationship between degrees and radians for a half-turn?","back":"$180^\\circ=\\pi$ radians.","points":1,"mcqOptions":null},{"id":"d97ddd8f-1cdd-4fb1-a5a8-4a3028a0d5bd","cardType":"basic","front":"Which trigonometric functions are positive in Quadrant II?","back":"Only sine.","points":1,"mcqOptions":null},{"id":"cdd0ab86-fc07-47f3-9a20-4dffa8eb8867","cardType":"basic","front":"Which trigonometric functions are positive in Quadrant III?","back":"Only tangent.","points":1,"mcqOptions":null},{"id":"766af27f-8ec0-4838-a25f-d94ce99b8554","cardType":"basic","front":"Which trigonometric functions are positive in Quadrant IV?","back":"Only cosine.","points":1,"mcqOptions":null},{"id":"4a4d6f40-3a03-4d29-9181-3094b56c15be","cardType":"basic","front":"What determines the sign of a trigonometric value when using a reference angle?","back":"The angle's quadrant.","points":1,"mcqOptions":null},{"id":"1f75d69c-22e1-46f2-b741-a529c7f73cc8","cardType":"basic","front":"What are $\\sin30^\\circ$, $\\cos30^\\circ$ and $\\tan30^\\circ$?","back":"

$\\sin30^\\circ=\\frac12$
$\\cos30^\\circ=\\frac{\\sqrt3}{2}$
$\\tan30^\\circ=\\frac{\\sqrt3}{3}$

","points":3,"mcqOptions":null},{"id":"598e08d7-940c-44e0-bd60-b0a957a924e2","cardType":"basic","front":"What are $\\sin45^\\circ$, $\\cos45^\\circ$ and $\\tan45^\\circ$?","back":"

$\\sin45^\\circ=\\frac{\\sqrt2}{2}$
$\\cos45^\\circ=\\frac{\\sqrt2}{2}$
$\\tan45^\\circ=1$

","points":3,"mcqOptions":null},{"id":"4012f282-b2b6-4d4f-be09-e20073ab0c07","cardType":"basic","front":"What are $\\sin60^\\circ$, $\\cos60^\\circ$ and $\\tan60^\\circ$?","back":"

$\\sin60^\\circ=\\frac{\\sqrt3}{2}$
$\\cos60^\\circ=\\frac12$
$\\tan60^\\circ=\\sqrt3$

","points":3,"mcqOptions":null},{"id":"55f1998b-f2ca-4811-a809-30df6a5a073a","cardType":"basic","front":"Why is $\\tan90^\\circ$ undefined?","back":"Because

1.4.1 Trigonometry Flashcards

1.4.1 Trigonometry Flashcards