# Given sec calculate all other trigonometric ratios

Consider a right-angle triangle ΔABC, right-angled at point B

sec =

=

If AC is 13k, AB will be 12k, where k is a positive integer.

Now according to Pythagoras theorem,

The square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Applying Pythagoras theorem in ΔABC, we obtain

(AC)2 = (AB)2 + (BC)2

(13 k)2 = (12 k)2 + (BC)2

169 k2 = 144 k2 + BC2

25 k2 = BC2

BC = 5 k

Sin =

= =

Cos θ =

= =

Tan θ =

= =

Cot θ =

= =

Cosec θ =

= =

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Identities44 mins
Champ Quiz | Trigger on Trigonometry47 mins
Basics of TrigonometryFREE Class
NCERT | Imp. Qs. Discussion - Trigonometry44 mins
Smart Revision | Trigonometric Ratios41 mins
Champ Quiz | NTSE Trigonometry50 mins
Testing the T- Ratios of Specified Angles57 mins
Foundation | Cracking Previous Year IMO QuestionsFREE Class
Trigonometry Basics36 mins
Smart Revision | Lets Revise Trigonometry45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Given calculate all other trigonometric ratios.

KC Sinha - Mathematics

If , evaluate

(i)

(ii)

KC Sinha - Mathematics