badge image

Enroll For Free Now & Improve Your Performance.

User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.

Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Grade: 12


Given sec θ = 13/12 . Calculate all other trigonometric ratios and please tell it asap

one month ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
1372 Points
							Dear Student

We know that
sec function is the reciprocal of the cos function
which is equal to the ratio of the length of the hypotenuse side to the adjacent side
Let us assume a right angled triangle ABC, right angled at B
sec θ =13/12 = Hypotenuse/Adjacent side = AC/AB

Let AC be 13k and AB will be 12k
Where, k is a positive real number.
According to the Pythagoras theorem,

the squares of the hypotenuse side is equal to the sum of the squares of the other two sides of a right angle triangle
and we get,

AC^2=AB^2+ BC^2
Substitute the value of AB and AC (13k)^2= (12k)^2+ BC^2
169k^2= 144k^2+ BC^2
169k^2= 144k^2+ BC^2
BC^2 =169k^2- 144k^2
BC^2= 25k^2
Therefore, BC = 5k

Now, substitute the corresponding values in all other trigonometric ratios So,
Sin θ =Opposite Side/Hypotenuse = BC/AC = 5/13
Cos θ =Adjacent Side/Hypotenuse = AB/AC = 12/13

tan θ =Opposite Side/Adjacent Side = BC/AB = 5/12

Cosec θ =Hypotenuse/Opposite Side = AC/BC = 13/5

cotθ =Adjacent Side/Opposite Side = AB/BC = 12/5

these are required values

one month ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution

Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details