Question

find the value of
$\sec(2100)$
please find it fast

Answer 1

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sec(2100)= sec(360 * 6 - 60)

= sec 60

= 1/cos 60

= 1/(1/2)

= 2.
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Answer 2

Answer:

2

Step-by-step explanation:

Method 1:

Given: sec(2100°)

= sec(360 * 6 - 60)

= sec(2 * 180 * 6 - 60)

= sec(2πn - 60)

∴ sec(2nπ -  θ) = secθ

= sec(60)

= 2.

Method - 2:

Given: sec(2100°)

= (1/cos 2100°)

= 1/sin(90 - 2100°)

= -1/sin(2010°)

Consider denominator:

sin(2010°)

= sin(360° * 5 + 7/6 * 180°)

= sin(7/6 * 180°)

= sin(210°).

Now,

Substitute the denominator, we get

= -1/sin(210°)

∴ sin(180 + θ) = -sinθ

= -1/sin(180° + 30°)

= -1/-sin(30)

= -1/-1/2

= 2.

Hope it helps!