Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant.
sec^2 (t) sin^2 (t), cos t; any quadrant
sec2 t sin2 t = ?
Can you explain please too, tryin to learn.
trying*
1 Answer
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The question is to rewrite sec²t sin²t in terms of cos t
sec²t = 1/cos²t
sin²t = 1 - cos²t, by the Pythagorean identity
Therefore, sec²t sin²t = (1/cos²t)(1 - cos²t) = 1/cos²t - 1