# If , prove that Given: Sin θ  We know that, Or  Let,

Perpendicular =AB =m

and Hypotenuse =AC =√(m2 + n2)

where, k is any positive integer

So, by Pythagoras theorem, we can find the third side of a triangle

In right angled ABC, we have

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

(m)2 + (BC)2 = (√(m2 + n2))2

m2 + (BC)2 = m2 + n2

(BC)2 = m2 + n2 – m2

(BC)2 = n2

BC =n2

BC =±n

But side BC can’t be negative. So, BC = n

Now, we have to find the value of cos θ and tan θ

We know that, Side adjacent to angle θ or base = BC =n

Hypotenuse = AC =√(m2 + n2)

So, Now, LHS = m sin θ +n cosθ  =√(m2 + n2) = RHS

Hence Proved

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Champ Quiz | Trigonometric Identities33 mins  Trigonometric Identities33 mins  NCERT | Trigonometric Identities52 mins  Quiz | Task on Trigonometric Ratios46 mins  Algebraic Identities48 mins  Quiz on Trigonometric Ratios31 mins  Quiz | Practice Important Questions on Trigonometrical Identities46 mins  T- Ratios of Specified Angles58 mins  Trick to learn all Trigonometric Formulae28 mins  Testing the T- Ratios of Specified Angles57 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 