Question: Prove thatsing + siny cot y = cscy 1. Start with the left side, because it is more complicated. 2. Rewrite the cotangent in terms

Prove thatsing + siny cot y = cscy 1. Start with the left side, because it is more complicated. 2. Rewrite the cotangent

in terms of sine or cosine. cos y 3. sing + siny

= cscy (replaced cotangent with cosine/sin sin y 4. sing + cosky

Prove thatsing + siny cot y = cscy 1. Start with the left side, because it is more complicated. 2. Rewrite the cotangent in terms of sine or cosine. cos y 3. sing + siny = cscy (replaced cotangent with cosine/sin sin y 4. sing + cosky = cscy (sine/sine = 1) sing sin y + cosky 5. cscy (sine = sine squared divided by sine) sing sing sin y +cos y 6. = cscy (added the fractions because we have a siny common denominator) 1 7. = cscy (use the first Pythagorean identity) siny 8. cscy = CScy (use the reciprocal identity)Pick one of the following problems and prove the equivalence similar to the example above. Make sure to explain what you did at each step. Put the function name in the subject line: g x = sinx cosx tanx = 1 - cos x h(ac) = tanx + cot x = secx csca secx - tanx sinx = secx m x = csc x tax x - 1 = tan x

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