Q. 13 B4.5( 10 Votes )

If tan 4θ × tan 6θ = 1 and 6θ is a positive acute angle, let us find the value of θ.

Answer :

Given, 6θ as a positive acute angle

tan4θ tan6θ = 1

tan4θ cot(90 - 6θ) = 1

cot(90 - 6θ) = cot4θ

90 - 6θ = 4θ

10θ = 90

θ = 9

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Task on Trigonometric Ratios46 mins
T- Ratios of Specified Angles58 mins
Quiz on Trigonometric Ratios31 mins
Trigonometric Identities33 mins
Champ Quiz | Trigonometric Identities33 mins
Testing the T- Ratios of Specified Angles57 mins
NCERT | Trigonometric Identities52 mins
Trigonometric Identities44 mins
Trick to learn all Trigonometric Formulae28 mins
Solving NCERT Questions on Trigonometric Identities56 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