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How do you find the exact value of 390 degrees?

Written by Jessica Wilkins — 1 Views

How do you find the exact value of 390 degrees?

The angle 390°, coterminal to angle 30°, is located in the First Quadrant(Quadrant I). Since cosine function is positive in the 1st quadrant, thus cos 390 degrees value = √3/2 or 0.8660254. . .

How do you solve tan 480?

tan 480 = tan (360+120) = tan 120. here as the tan will fall in 2nd quadrant it will be negative. therefore tan120 = tan(180-60) = -tan 60 -√3.

What is the tan of 120 degrees in radians?

Trigonometric Function Values of Special Angles

θ°θradianstan(θ)
120°2π/3-√3
135°3π/4-1
150°5π/6-√3/3
180°π0

What is the exact value of tan 390?

1/√3
Tan 390 degrees is the value of tangent trigonometric function for an angle equal to 390 degrees. The value of tan 390° is 1/√3 or 0.5774 (approx).

What is the exact value of tan?

The exact value of tan(0) is 0 .

How do you find tan 480 without a calculator?

⇒ 480 degrees = 480° × (π/180°) rad = 8π/3 or 8.3775 . . . Explanation: For tan 480°, the angle 480° > 360°. We can represent tan 480° as, tan(480° mod 360°) = tan(120°).

What is the value of cot 315?

-1
The value of cot 315° is -1.

What is the exact value of tan 270?

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The value of tan 270 degrees is undefined. Tan 270 degrees in radians is written as tan (270° × π/180°), i.e., tan (3π/2) or tan (4.712388. . .).

How do you find the exact value of tan 300?

For tan 300 degrees, the angle 300° lies between 270° and 360° (Fourth Quadrant). Since tangent function is negative in the fourth quadrant, thus tan 300° value = -√3 or -1.7320508. . .

How do you find the six trigonometric functions of 390 degrees?

Explanation:

  1. sin390=sin(30+360)=sin30=12.
  2. cos390=cos(30+360)=cos30=√32.
  3. tan390=tan30=1√3=√33.
  4. cot390=1tan30=√31.
  5. sec390=1cos30=2√3.
  6. csc390=1sin30=21.

What angle is tan?

In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as ‘tan’.