Let sin t = a, cos t = b, and tan t = c. Write the following expression in terms of a, b, and c.

sin (t + 4pi) - cos (t + 8pi) + tan (t + 5pi)

Question

Mathematics

Jaiden Nash

3 May, 02:14

Let sin t = a, cos t = b, and tan t = c. Write the following expression in terms of a, b, and c.

sin (t + 4pi) - cos (t + 8pi) + tan (t + 5pi)

+2

Answers (1)

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Hood · Answer 1

We use the trigonometric identities in this problem.

= (sin (t) cos (4π) + sin (4π) cos (t)) - (cos (t) cos (8π) - sin (t) sin (8π)) + tan (t) + tan (5π) / 1-tan (t) tan (5π)

= sin (t) + 0-cos (t) + 0 + tan (t) 1-0 = sin (t) - cos (t) + tan (t)

= a-b+c

Let sin t = a, cos t = b, and tan t = c. Write the following expression in terms of a, b, and c.sin (t + 4pi) - cos (t + 8pi) + tan (t + 5pi)

Let sin t = a, cos t = b, and tan t = c. Write the following expression in terms of a, b, and c.

sin (t + 4pi) - cos (t + 8pi) + tan (t + 5pi)