Question

Let x = sin^–1(sin8) + cos^–1(cos11) + tan^–1(tan7), and x = k(π – 2.4) for an integer k, then the value of k is ______.

Options

• 3.00

• 4.00

• 5.00

• 6.00

Answer 1

Let x = sin^–1(sin8) + cos^–1cos11) + tan^–1(tan7), and x = k(π – 2.4) for an integer k, then the value of k is 5.00.

Explanation:

x = sin^–1(sin8) + cos^–1cos11) + tan^–1(tan7)

= 3π – 8 + 4π – 11 + 7 – 2π

= 5π – 12 = 5(π – 2.4)