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The proportions of the sides of a 30-60-90 triangle is something you just gotta memorize (1, 2, sqrt(3)), and to get the values of any trigonometric function you just plug in the sides.
SOH CAH TOA is a common thing to have drilled into your head in a trig class (sine=opp/hyp; cosine=adj/hyp; tangent=opp/adj), then you just gotta know that cosecant, secant, and cotangent are just sine, cosine, and tangent flipped around, and you're good to go for finding out trig function values given a triangle.
cos is adjacent over hypotenuse, so cos(60) is 1 over 2 (1/2). csc is hypotenuse over opposite, so you just plug in the side lengths for that.
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5e-1 = 0.5
cos(60 degrees) = cos (pi/3) = 1/2 by this circle:
SOH CAH TOA is a common thing to have drilled into your head in a trig class (sine=opp/hyp; cosine=adj/hyp; tangent=opp/adj), then you just gotta know that cosecant, secant, and cotangent are just sine, cosine, and tangent flipped around, and you're good to go for finding out trig function values given a triangle.
cos is adjacent over hypotenuse, so cos(60) is 1 over 2 (1/2). csc is hypotenuse over opposite, so you just plug in the side lengths for that.