What is cos 135 degrees in fraction form?

30/08/2022

What is cos 135 degrees in fraction form?

Explanation: For cos 135 degrees, the angle 135° lies between 90° and 180° (Second Quadrant). Since cosine function is negative in the second quadrant, thus cos 135° value = −(1/√2) or -0.7071067. . .

How do you find COS 135 degrees?

Cos 135° is an angle in the second quadrant.

  1. In the second quadrant, cos is negative. cosθ=xr.
  2. cos45°=1√2.
  3. ∴cos135°=−cos45°=−1√2.

What is sin 135 as a fraction?

1/√2
The value of sin 135° is 1/√2 or 0.7071 (approx).

What is the reference angle for COS 135 degrees?

135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .

What is COS 45 in fraction?

The exact value of cos 45 degrees is 1/√2 or √2/2.

What is the exact value of tan 135?

Trigonometric Function Values of Special Angles

θ° θradians tan(θ)
90° π/2 N/A
120° 2π/3 -√3
135° 3π/4 -1
150° 5π/6 -√3/3

What is COS 150 in fraction?

−√3/2
Answer: The exact value of cos (150∘) is −√3/2 and sin (150∘) is 1/2.

What are the six trig function values of 135?

Terms in this set (7)

  • sin135. √2/2.
  • cos135. -√2/2.
  • tan135. -1.
  • cot135. -1.
  • sec135. -√2.
  • csc135. √2.
  • radian name. 3π/4.

What is the value of cos 120 in fraction?


Value of Cos 120 is -½.

What is COS 60 in fractions?

The value of cos 60 is 1/2.

What is the sine cosine and tangent of 135 degrees?

What is the value of sin 120 degrees in fraction?

√3/2
Therefore, sin 120° = √3/2.

What is the value of cos 30 degrees in fraction?

Cos 30 degrees is written as cos 30° and has a value in fraction form as √3/2. Cos 30° = √3/2 is an irrational number and equals to 0.8660254037 (decimal form).

What is the value of cos 120 degrees in fraction?

What is the value of cos 45 degrees in fraction?

What is cos as a fraction?

In trigonometry, the cosine function is defined as the ratio of the adjacent side to the hypotenuse. If the angle of a right triangle is equal to 30 degrees, and then the value of cosine at this angle i.e., the value of Cos 30 degree is in a fraction form as √3/2.

How do you get the exact value of Cos 135?

In this article,we will be using the following trigonometric identities.

  • Summation/difference cos ⁡ ( θ ± ϕ) = cos ⁡ θ cos ⁡ ϕ ∓ sin ⁡ θ sin ⁡ ϕ {\\displaystyle\\cos (\\theta\\pm\\phi )=\\cos\\theta\\cos\\phi
  • Half-angle cos ⁡ θ 2 = ± 1+cos ⁡ θ 2 {\\displaystyle\\cos {\\frac {\\theta } {2}}=\\pm {\\sqrt {\\frac {1+\\cos\\theta } {2}}}} sin ⁡ θ 2 =
  • What is the exact value of Cos 135?

    cos135° = cos (90+45)° 45° is the reference angle. cos 45° = sqrt (2)/2, cos135° = – sqrt (2)/2 since cos theta is negative in Quad II. *** For Quad II reference angles take 180 – x ***. I took 180 – 135 = 45. It was the rest of the angle down to 180 that I wanted NOT the c in 90 + c above.

    How would you write 135 as a fraction?

    Write down the number as a fraction of one: 0.135 = 0.135 1

  • Multiply both top and bottom by 10 for every number after the decimal point: As we have 3 numbers after the decimal point,we multiply both numerator and
  • Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them.
  • What is the exact value of Cos 135 degrees?

    Using trigonometric identities, we can write sin 135° in terms of cos 135° as, sin(135°) = √(1-cos²(135°)). Here, the value of cos 135° is equal to −(1/√2) . Here, the value of cos 135° is equal to −(1/√2) .