Simplifying Trigonometric Expression Involving Sine and Tangent Functions

Math Problem Statement

Given 0 < t < π/2, simplify the following expression: sin(π/2 - t) * sqrt(1 + tan^2(t)) / sqrt(4sec^2(t) - 4)

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Trigonometry
Trigonometric identities

sin(π/2 - t) = cos(t)
1 + tan^2(t) = sec^2(t)
sec(t) = 1/cos(t)

Trigonometric identity for complementary angles
Pythagorean identity

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