Question 772504: Find the exact values of the six trigonometric functions of the angle which has a point on the terminal side of (-1,4)
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Step 1: Plot the point and draw the terminal ray.
Step 2: Drop a perpendicular to the  axis from the point.
Step 3: Calculate the measure of the hypotenuse of the right triangle formed by the -axis, the perpendicular you constructed in step 2, and the terminal ray. Leg one of your triangle is 1, leg 2 is 4. Use Pythagoras. Leave the answer in radical form if the result is irrational.
Step 4: Calculate the sine function. Divide the  -coordinate of your point, which happens to the opposite side, by the measure of the hypotenuse. Rationalize your denominator if necessary, but save the irrational denominator form for use in step 6.
Step 5: Calculate the cosine function. Divide the -coordinate of the point by the measure of the hypotenuse. Rationalize your denominator, if necessary, but save the irrational denominator form for use in step 6.
Step 5: Calculate the tangent function. Divide the -coordinate by the -coordinate.
Step 6: Calculate the other three functions by taking the reciprocals of the results obtained in steps 4, 5, 6. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.
All irrational results must be expressed with rationalized denominators.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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