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madam [21]
3 years ago
14

Evaluate sec960°. 1. -2 2. - 2 sqrt3/3 3. 2sqrt 3/3 4. 2

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

We want to evaluate;

\sec960\degree

We use the reciprocals of trigonometric ratios to obtain;

\sec960\degree=\frac{1}{\cos960\degree}

The 960 degree angle makes an angle of 60 degree with the positive direction of the x-axis and it is in the 3rd quadrant.

This implies that;

\sec960\degree=\frac{1}{-\cos60\degree}

We use special trigonometric ratios to obtain;

\sec960\degree=\frac{1}{-\frac{1}{2}}

\sec960\degree=-2

mash [69]3 years ago
3 0

Answer:

Option 1. ( -2)

Step-by-step explanation:

sec (960°)

= sec [ 360 × 2 + 180 + 60° ]

This signifies when we draw 960° it revolves 360° twice 180° once then 60° in third quadrant in positive direction.

That means sec 960 = -(sec60)

                                   = -(\frac{1}{cos60})

                                   = \frac{-1}{\frac{1}{2} }

                                   = (-2)

Option 1. ( -2) is the answer.

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