Question

\( (a) \lim_{t \to \pi/2} \frac{\sin t - \sqrt{\sin^2 t + 5\cos^2 t}}{2\cos^2 t} = \)

          \( (a) \lim_{t \to \pi/2} \frac{\sin t - \sqrt{\sin^2 t + 5\cos^2 t}}{2\cos^2 t} = \)

(a) limt →π/2(sin t - √(sin^2 t + 5cos^2 t))/(2cos^2 t) =

Added by Kathy R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/18/2022

Step 1

We can use the identity sin^2(t) + cos^2(t) = 1 to simplify the expression. Show more…

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(a) lim_(t->(p^(i))/(2))(sint-sqrt(sin^(2)t+5cos^(2)t))/(2cos^(2)t)= sin t-sin 2t+5cos2t a)lim t-pi/2 2cos2

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