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Worksheet: Finding Function Values of Quadrantal Angles

Q1:

Find the value of s e c 1 8 0 ∘ .

Q2:

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

Which of the following properties of β–³ 𝑂 𝐡 𝐴 do you need to use to find the coordinates of point 𝐡 ο€» πœ‹ 3 , πœ‹ 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œ‹ 3 and s i n πœ‹ 3 .

  • A c o s s i n πœ‹ 3 = 1 2 , πœ‹ 3 = √ 3 2
  • B c o s s i n πœ‹ 3 = 1 4 , πœ‹ 3 = √ 3 4
  • C c o s s i n πœ‹ 3 = √ 3 2 , πœ‹ 3 = 1 2
  • D c o s s i n πœ‹ 3 = 1 3 , πœ‹ 3 = √ 3 3
  • E c o s s i n πœ‹ 3 = 1 2 , πœ‹ 3 = βˆ’ √ 3 2

The line 𝑂 𝐡 intersects the line π‘₯ = 1 at 𝑇 ( 1 , 𝑦 ) 𝑇 . The triangle 𝐴 𝑇 𝐢 is formed by reflecting β–³ 𝑂 𝑇 𝐴 in the line 𝐴 𝑇 . What kind of triangle is the triangle 𝑂 𝑇 𝐢 ?

  • Aequilateral
  • Bright
  • Cisosceles
  • Dscalene

Find 𝐴 𝑇 ο€» πœ‹ 3  i . e . , t a n .

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

Q3:

Find the value of c o t 1 8 0 ∘ .

  • A0
  • B1
  • C βˆ’ 1
  • DUndefined

Q4:

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

Q5:

Find the value of c s c 9 0 ∘ .

Q6:

Find the value of c o s 0 .