Mathematics, 11.07.2019 22:40 AM28
Trigonometric identities simplify each expression. (1−cos(−+cos(t)) = (1+sin(+sin(-t))= csc(t)tan(t)+sec(−t) = you for your
Answers: 1
![\bf \textit{symmetry identities}\\\\ sin(-\theta )\implies -sin(\theta )\qquad \qquad cos(-\theta )\implies cos(\theta ) \\\\\\also~recall\\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\\\ sin^2(\theta)=1-cos^2(\theta) \\\\ -------------------------------\\\\\ [1-cos(-t)][1+cos(t)]\implies [1-cos(t)][1+cos(t)]](/tpl/images/0078/7223/602b1.png)
![\bf 1^2-cos^2(t)\implies 1-cos^2(t)\implies sin^2(t)\\\\ -------------------------------\\\\\ %Simplify each expression. (1−cos(−t))(1+cos(t)) = (1+sin(t))(1+sin(-t))= csc(t)tan(t)+sec(−t) = [1+sin(t)][1+sin(-t)]\implies [1+sin(t)][1-sin(t)] \\\\\\ 1^2-sin^2(t)\implies 1-sin^2(t)\implies cos^2(t)\\\\ -------------------------------\\\\](/tpl/images/0078/7223/66b31.png)
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Trigonometric identities simplify each expression. (1−cos(−+cos(t)) = (1+sin(+sin(-t))= csc(t)tan...
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