Worksheet: Finding Function Values of Quadrantal Angles

In this worksheet, we will practice finding the values of quadrantal angles.

Q1:

Find the value of c o s 0 .

Q2:

Find the value of c o s 𝜃 where 𝜃 is the measure of an angle in standard position whose terminal side passes through ( 4 , 0 ) .

Q3:

Find the value of s e c 1 8 0 .

Q4:

Two points 𝐴 and 𝐵 lie on the unit circle centered at the origin 𝑂 such that the coordinate of 𝐴 are ( 1 , 0 ) and 𝐴 𝑂 𝐵 = 𝜋 3 .

Which of the following properties of 𝑂 𝐵 𝐴 do you need to use to find the coordinates of point 𝐵 𝜋 3 , 𝜋 3 c o s s i n .

  • AAll three internal angles are equal.
  • BAll three sides are equal.
  • CThe height of an equilateral triangle is half its median.
  • DThe height of an equilateral triangle is also its median.
  • EThe height of an equilateral triangle is equal to its side.

Hence, find c o s 𝜋 3 and s i n 𝜋 3 .

  • A c o s s i n 𝜋 3 = 1 2 , 𝜋 3 = 3 2
  • B c o s s i n 𝜋 3 = 1 4 , 𝜋 3 = 3 4
  • C c o s s i n 𝜋 3 = 3 2 , 𝜋 3 = 1 2
  • D c o s s i n 𝜋 3 = 1 3 , 𝜋 3 = 3 3
  • E c o s s i n 𝜋 3 = 1 2 , 𝜋 3 = 3 2

The line 𝑂 𝐵 intersects the line 𝑥 = 1 at 𝑇 ( 1 , 𝑦 ) 𝑇 . The triangle 𝐴 𝑇 𝐶 is formed by reflecting 𝑂 𝑇 𝐴 in the line 𝐴 𝑇 . What kind of triangle is the triangle 𝑂 𝑇 𝐶 ?

  • Aequilateral
  • Bright
  • Cisosceles
  • Dscalene

Find 𝐴 𝑇 𝜋 3 i . e . , t a n .

  • A 3
  • B 3 3
  • C 2 3
  • D 3 4
  • E1

Q5:

Find the value of c o t 1 8 0 .

  • A0
  • B1
  • C 1
  • DUndefined

Q6:

Find the value of c s c 9 0 .

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