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1976 AMC 12 Question 17

AMC12 · 1976 AMC 12

Question 17

If $\theta$ is an acute angle and $\sin2\theta=a,$ then $\sin\theta+\cos\theta$ equals
  1. $\sqrt{a+1}$
  2. $(\sqrt2-1)a+1$
  3. $\sqrt{a+1}-\sqrt{a^2-a}$
  4. $\sqrt{a+1}+\sqrt{a^2-a}$
  5. $\sqrt{a+1}+a^2-a$