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for questions 1 - 5, decide whether the equation is a trigonometric ide…

Question

for questions 1 - 5, decide whether the equation is a trigonometric identity.

  1. $cos^2 x(1 + \tan^2 x) = 1$ (3 points)
  2. $sec x \tan x(1 - sin^2 x) = sin x$ (3 points)
  3. $csc x(2 sin x - sqrt{2}) = 0$ (2 points)
  4. $cos^2(2x) - sin^2(2x) = 0$ (2 points)
  5. $sin^2 \theta csc^2 \theta = sin^2 \theta + cos^2 \theta$ (2 points)

Explanation:

Answer:

Yes, it is a trigonometric identity.
Yes, it is a trigonometric identity.
No, it is not a trigonometric identity.
No, it is not a trigonometric identity.
Yes, it is a trigonometric identity.