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What are the trig values of special angles?

What are the trig values of special angles?

Special Angle Values

  • sin30° = opp/hyp = 1/2.
  • cos30° = adj/hyp = √3/2.
  • tan30° = opp/adj = 1/√3.
  • sec30° = hyp/adj = 2/√3.
  • csc30° = hyp/opp = 2/1 = 2.
  • cot30° = adj/opp = √3/1 = √3.
  • sin60° = opp/hyp = √3/2.
  • cos60° = adj/hyp = 1/2.

What angle has a sec of?

So, just as the secant value is undefined for any angle for which the cosine is zero, it will always be one for any angle for which the cosine is one, and minus one for any angle for which the cosine is minus one….The Secant Function.

sec (θ ) = 1
cos(θ )

What is secant in trig?

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

What’s CSC in trig?

Cosecant (csc) – Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just ‘csc’.

What is CSC Trig?

Why are the angles 30 45 and 60 special?

These are 30o, 45o, and 60o. What is so special about them? Because it is easy to ‘exactly’ evaluate the trigonometric function without using a calculator for these angles. These angles have comparatively clean values, offering us a great deal to solve Math problems.

What are the trigonometric function values of special angles?

Trigonometric Function Values Of Special Angles. How to derive the trigonometric function values of 30, 45 and 60 degrees and their corresponding radian measure. Cofunction identities are also discussed: sin θ = cos (90° – θ) cos θ = sin (90° – θ) Show Video Lesson.

What are the trig ratios of special angles?

The following special angles chart show how to derive the trig ratios of 30°, 45° and 60° from the 30-60-90 and 45-45-90 special triangles. Scroll down the page if you need more examples and explanations on how to derive and use the trig ratios of special angles.

What is the ratio of sides of a 30 60 triangle?

Special Angles: 30 and 60 Let us first consider 30˚ and 60˚. These two angles form a 30˚-60˚-90˚ right triangle as shown. The ratio of the sides of the triangle is 1:√3:2

What are the different types of angles?

Certain angles have trig values that may be computed exactly. Of these, the angles listed below are some of the angles most commonly used in math classes. Special angles, trig functions, degrees, radians , sine, cosine, tangent, cosecant, secant, cotangent