### Verifiying Trigonometric Identities

Verify the identity algebraically: 1+ cos 10y = 2 cos^2 5y

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Verify the identity algebraically: 1+ cos 10y = 2 cos^2 5y

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See attached file for full problem description. Please show answers with all steps.

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(See attached file for full problem description)

Which of the following is identical to cos(x +y)cos(x-y) ?

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1.-On the shore of the lake,a surveyor measured a straigth line of 30 meters between point A and B.what is the shortest distance between the point C on the island and the point A on the shore if angle C A B = 23degrees and 50 minutes and angle C B A =67 degrees and 28 minutes. 2.-Find the angle B in an oblique triangle in whi