In the given trigonometric function, first find the required angle lies in which quadrant.
0 ≤ θ ≤ 90 (or) 0 ≤ θ ≤ π/2 90 ≤ θ ≤ 180 (or) π/2 ≤ θ ≤ π 180 ≤ θ ≤ 270 (or) π ≤ θ ≤ 3π/2 270 ≤ θ ≤ 360 (or) 3π/2 ≤ θ ≤ 2π |
θ lies in 1^{st} quadrant θ lies in 2^{nd} quadrant θ lies in 3^{rd} quadrant θ lies in 4^{th} quadrant |
θ 180 - θ (or) π - θ θ - 180 (or) θ - π 360 - θ (or) 2π - θ |
θ lies in 1^{st} quadrant θ lies in 2^{nd} quadrant θ lies in 3^{rd} quadrant θ lies in 4^{th} quadrant |
Find the exact value of each trigonometric function.
Problem 1 :
sec -90°
Solution:
Problem 2 :
Solution:
Problem 3 :
Solution:
Problem 4 :
tan 45°
Solution:
= tan 45°
= 1
Problem 5 :
csc 210°
Solution:
Problem 6 :
Solution:
Problem 7 :
sec -60°
Solution:
sec -60° = sec 60°
= sec (90° - 30°)
[sec (90 - θ) = cos θ]
= cos 30°
Problem 8 :
Solution:
Problem 9 :
sin 330°
Solution:
= sin 330°
= sin (360° - 30°)
= -sin(30°)
= -1/2
Problem 10 :
cot -90°
Solution:
= cot -90°
= 0
Problem 11 :
Solution:
Problem 12 :
Solution:
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM