bm42400
bm42400 bm42400
  • 11-04-2019
  • Mathematics
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Evaluate sec(sen^-1 √3/2 ) Assume that all the angles are in Quadrant I.

Evaluate secsen1 32 Assume that all the angles are in Quadrant I class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-04-2019

ANSWER

b. 2

EXPLANATION

The given expression is

[tex] \sec( \sin^{ - 1} ( \frac{ \sqrt{3} }{2} ) ) [/tex]

Since we are in the first quadrant, this simplifies to

[tex] \sec( 60 \degree) [/tex]

[tex] = \frac{1}{ \cos(60 \degree) } [/tex]

[tex] = \frac{1}{ \frac{1}{2} } [/tex]

This finally gives us:

[tex] = 2[/tex]

The correct choice is B.

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