Q. 115.0( 2 Votes )

If cot , then find the value of sin θ.

Answer :


We know that,



Or



Let,


Side adjacent to angle θ =AB = 12k


The side opposite to angle θ =BC = 5k


where k is any positive integer


Firstly we have to find the value of AC.


So, we can find the value of AC with the help of Pythagoras theorem


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


(12k)2 + (5k)2 = (AC)2


(AC)2 = 144 k2 +25 k2


(AC)2 = 169 k2


AC =169 k2


AC =±13k


But side AC can’t be negative. So, AC = 13k


Now, we will find the sin θ



Side opposite to angle θ = BC = 5k


and Hypotenuse = AC = 13k


So,


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Identities33 mins
Champ Quiz | Trigonometric Identities33 mins
NCERT | Trigonometric Identities52 mins
Quiz | Task on Trigonometric Ratios46 mins
Trigonometric Identities44 mins
Solving NCERT Questions on Trigonometric Identities56 mins
Algebraic Identities48 mins
Quiz | Practice Important Questions on Trigonometrical Identities46 mins
Quiz on Trigonometric Ratios31 mins
T- Ratios of Specified Angles58 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