1.) Given the terminal side of angle Ø is at the point (8,15) what is the value

Question

1.) Given the terminal side of angle Ø is at the point (8,15) what is the value of the six trig functions of angle Ø?
  

2.)Find the value of x and round to three decimal places.
  

3.)Find the missing angle opposite of x and round to three decimal placed if needed.

4.) Find the length of the hypotension and round to three decimal places.
  

5.) Find angle A using inverse trig functions and round to three decimal places.

Explanation / Answer

problem 1 is solved.

2)x /42 = cot (28degrees)

x = 42 cot (28degrees)= 78.991 cm

3) sum of three angles of triangle = 180

90+28+angle=180

angle opposite to x = 62 degrees

4) 42/hypotenuse = sin(28degrees)

hypotenuse = 42/sin(28degrees)=89.462 cm

5)tan(A) = 5/15 = 1/3

A = arctan(1/3) = 18.435 degrees

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