kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
10.5 Cosecant, Secant and Cotangent of an Angle

Cosecant, Secant, Cotangent of an Angle

In the right angled triangle ΔPAB, ∠PAB = θ

Cosecant
csc θ = hypotenuse/opposite = AP/PB

Secant
sec θ = hypotenuse/ adjacent = AP/AB

Cotangent
cot θ = adjacent / opposite = AP/PB

Then the ratio
cot θ = 1; sec θ = 2
cot θ = 1/2 sec θ = 2
cot θ = 2 ; sec θ = 1/2


Directions: Answer the following questions. Also write at least 10 examples of your own.
Q 1: If cosec θ = 41/40, find the values of sin θ, sec θ.
Answer:

Q 2: If tan θ = 4/3, find the value of 1- sin θ/1+sin θ
Answer:

Q 3: If cos θ = 3/5, find the value of sin θ, cosec θ
Answer:

Q 4: If sec θ = 25/7, find the values of tan θ, cosec θ.
Answer:

Q 5: If sec θ = 2, find sin θ, cot θ
sin θ = 1/2; cot θ = 3/2
sin θ = 23; cot &theta = 2
sin θ = 3/2; cot θ = 1/3
sin θ = 2/3; cot &theta = 1

Q 6: If sin A = 1/3, evaluate cos A.cosec A.
Answer:

Q 7: Given cot θ = 20/21, determine cos θ, cosec θ.
Answer:

Q 8: If 7 sin A = 24 cos A, find cot A.
Answer:

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer