Question

find the value of tan 1020°​

Answer 1

1. tan1020=tan(1080-60)

Step-by-step explanation:

that equals to tan60 = - √ 3. so it's in the 4th quadrant it becomes -

Answer 2

The value of tan 1020° = -2.747477....

As per the question given,

The value of tan 1020° can be found by reducing the angle 1020° to an equivalent angle in the range of 0° to 360°. To do this, we can subtract 360° from 1020° until we get an angle in the desired range. In this case, 1020° - 360° = 660°.

Since tan is a periodic function, with period 360°, we can find the value of tan 660° by finding the value of tan 300° and using the identity tan (360° - x) = -tan x:

tan 660° = -tan (360° - 660°) = -tan (-300°)

The value of tan (-300°) can be found by using the identity tan (180° - x) = -tan x:

tan (-300°) = -tan (180° - 300°) = -tan (-120°)

The value of tan -120° can be found using a table or calculator. On most calculators, the value of tan -120° can be found by entering the value -120° in degrees into the tangent function:

tan (-120°) = -2.747477...

So the value of tan 1020° = -tan (-300°) = -tan (-120°) = -2.747477..

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