# If find the value of x sin θ + y cos θ.

We know that,

Or

Let,

Side opposite to angle θ =AB = x

Side adjacent to angle θ =BC = y

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

(x)2 + (y)2 = (AC)2

(AC)2 = x2+y2

AC =( x2+y2)

Now, we will find the sin θ and cos θ

We know that

Side adjacent to angle θ = BC = y

and Hypotenuse = AC = √( x2+y2)

So,

And

Side adjacent to angle θ =AB = x

And Hypotenuse =AC = √( x2+y2)

So,

Now, x sin θ +y cos θ

= √( x2+y2)

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 | Practice Important Questions on Trigonometrical Identities46 mins
Quiz on Trigonometric Ratios31 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
RELATED QUESTIONS :

Given calculate all other trigonometric ratios.

KC Sinha - Mathematics

If , evaluate

(i)

(ii)

KC Sinha - Mathematics