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Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.

0 votes

Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.

75o

asked Jan 22, 2015 in TRIGONOMETRY by anonymous

1 Answer

0 votes

Step 1:

To find .

Using half angle formula .

Here, and .

is lies in first quadrant.

The positive square root is chosen because  is positive in first quadrant.

.

Step 2:

To find .

Using half angle formula .

Here, and .

is lies in first quadrant.

The positive square root is chosen because  is positive in first quadrant.

.

Step 3:

To find image.

Using half angle formula .

Here, and .

is lies in first quadrant.

image

image.

Solution:

.

.

image.

answered Jan 23, 2015 by Sammi Mentor

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