Convert the angle in degrees to radians. Solution:- Consider a circle of radius r. A center angle of 1 revolution (360 degree ) will subtend an arc equal to…
Category: Trigonometry
Problem 654
Find an equation for the plane y = 5x in cylindrical coordinates.? Solution:- x = r cosΘ y = r sinΘ z = z r sinΘ = 5rcosΘ…
Problem 598
Which of the following graphs represents a vertical shift down 1 of the parent graph of f(x) = sinx? Solution:-
Problem 597
Which of the graphs represents a vertical shift up 1 of the parent graph of f(x)= sinx ? Solution:-
Problem 575
Find the sine of 720°. Solution:- Find the reference angle for 720° by finding the acute angle the terminal side forms with the x axis. sine of 720 =…
Problem 574
Find the cosine of 90°. Solution:- The coordinate at 90° is (0, 1). The cosine represents the x-coordinate of the ordered pair. Therefore, the cosine of 90° is…
Problem 573
Find the cotangent of the angle in standard position in which the terminal side passes through the point (6, 8). Solution:- The circular definitions of the trigonometric functions say…
Problem 572
Explain the meaning of SOH of the mnemonic device SOH-CAH-TOA. Solution:- The mnemonic device of SOH-CAH-TOA represents the trigonometric ratios for the sine, cosine, and tangent functions.…
Problem 571
Write 85.847° in degrees, minutes, and seconds. Solution:- Step 1: Calculate the minutes. Multiply the decimal portion of the given angle by 60. Step 2: Calculate the seconds. Then…
Problem 570
Write using decimal degrees. Round your answer to the nearest thousandth. Solution:- Convert the minutes and seconds using the following ratios: and , respectively. Then write your answer as a decimal rounded…
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