# If ∠A and ∠X are acute angles such that cos A = cos X then show that ∠A = ∠X.

We have

In this ∆AOX,

cos A = cos X

and cos A is given by,

[, ]

Similarly,

AO = OX [clearly, since denominator from either sides cancel each other]

Now, if sides AO and OX of ∆AOX are equal.

Then, A = X [, In a triangle, angles opposite to the equal sides are also equal]

Hence, A = X

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 | Trigonometry Important Questions33 mins
Solving NCERT Questions on Trigonometric Identities56 mins
NCERT I Trigonometric Ratios50 mins
Smart Revision | Revise Trigo Like an Expert51 mins
Champ Quiz | Trigger on Trigonometry47 mins
Basics of TrigonometryFREE Class
NCERT | Imp. Qs. Discussion - Trigonometry44 mins
Smart Revision | Trigonometric Ratios41 mins
NCERT | Imp. Qs. on Trigonometry42 mins
Quiz | Trail of Mixed Questions on Trigonometry59 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 :

If then find sin A and tan A

AP- Mathematics

Given then evaluate

A.

AP- Mathematics