Find the Reference Angle -420 degrees

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Trigonometry

$- 420 °$

Find an angle that is positive, less than $360 °$ , and coterminal with $- 420 °$ .

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Add $360 °$ to $- 420 °$ .

$- 420 ° + 360 °$

The resulting angle of $- 60 °$ is coterminal with $- 420 °$ but isn't positive. Repeat the step.

$- 60 °$

Add $360 °$ to $- 60 °$ .

$- 60 ° + 360 °$

The resulting angle of $300 °$ is positive and coterminal with $- 420 °$ .

$300 °$

Since the angle $300 °$ is in the fourth quadrant, subtract $300 °$ from $360 °$ .

$360 ° - 300 °$

Subtract $300$ from $360$ .

$60 °$

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Name

Name	six hundred eighty-four million four hundred thirty-eight thousand six hundred seventy-seven

Interesting facts

684438677 has 16 divisors, whose sum is 819399168
The reverse of 684438677 is 776834486
Previous prime number is 13

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 53
Digital Root 8

Name

Name	one billion seven hundred eighty-five million three hundred seventeen thousand nine hundred eighteen

Interesting facts

1785317918 has 8 divisors, whose sum is 2678767248
The reverse of 1785317918 is 8197135871
Previous prime number is 3433

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 50
Digital Root 5

Name

Name	five hundred thirty-eight million nine hundred seventy-nine thousand six hundred nineteen

Interesting facts

538979619 has 4 divisors, whose sum is 718639496
The reverse of 538979619 is 916979835
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 57
Digital Root 3

Simplify sin(-300)

Graph y=6cos(x)

Determine if True sin(30)=3/5

Graph f(x)=|2cos((pix)/2)|

Graph y=1/4*sec(x)