Mathematics Homework Solutions

Solve the Trigonometric Equation tan^2 θ + (√3 - 1)tanθ - √3 = 0.

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2 Problems

1. Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches. The diameter of the wheels of the other car is 16 inches. If the tires are equally durable and differ only by diameter, which car will probably need new tires first? Why? 2. ...continues

Difference between a trig equation that is an identity and a trig equation that is not an identity

What is the difference between a trig equation that is an identity and a trig equation that is not an identity? Provide an example to clarify.

Trigonometry equation

s=4sin(t+^0) with a force acting upon it P=7sin(t-39) If E at time t is ps and E=-14cos(2t-60) How do you arrive at this.

Find all solutions to the given trigonometric equation.

Find all solutions of the equation Sec^2-2=0 The answer is A+B(k)(pi) where k is any integer and 0

4 Trigonometry Application Word Problems

A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of the side adjacent to the 63 degree bearing). How far is the lobster boat from the light house? A recent land survey was conducted on a vacant lot ...continues

Trigonometry : Indentity or Not? Provide examples.

What is the difference between a trigonometric equation that is an identity and a trig equation that is not an identity? Provide an example to clarify.

Find the angle which the roof lay on the front beam.

A recent land survey was conducted on a vacant lot where a commercial building is to be erected. The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams are 6.5 feet high. The distance between the front and back bea ...continues

Hyperbola : Vertices and Foci 9y^2/25 - x^2 = 1

Find the coordinates of the vertices and the foci of the hyperbola and sketch the graph. 9y^2/25 - x^2 = 1

Solve a Trigonometric Equation : cos(5x)cos(7x)cos(11x)=3 / (sqrt3)

cos(5x)cos(7x)cos(11x)=3 / (sqrt3) How is this problem done? I don't need an exact answer as much as I need the steps leading up to the answer. Calculators aren't permitted so maybe that'll help?

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