Q. 34.3( 178 Votes )

Find A if tan 2A = cot (A - 24⁰)

Or

Find the value of (sin233⁰ + sin257⁰)

Answer :

tan 2A = cot (A - 24⁰)

We know that tan θ = cot (90⁰ - θ)

cot (90⁰ - 2A) = cot (A - 24⁰)

⇒ 90⁰ - 2A = A - 24⁰
⇒ 90⁰ + 24⁰ = A + 2A
⇒ 90⁰ + 24⁰ = 3A

⇒ 114⁰ = 3A

⇒ A = 38⁰

Or

Consider (sin233⁰ + sin257⁰),

We know that sin θ = cos (90⁰ - θ)

sin233⁰ + sin257⁰ = sin233⁰ + cos2(90⁰ - 57⁰)

= sin233⁰ + cos233⁰

= 1

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
All about Coulomb's Law64 mins
Genius Quiz | All About Magnetic Field33 mins
Quiz | Recalling the National Movement50 mins
NCERT | Nationalism in India-II53 mins
Champ Quiz | Crops of India31 mins
Rivers of India30 mins
Learn All About NTSE 202143 mins
Champ Quiz | Nationalism in India38 mins
Champ Quiz | All About Acids and Bases31 mins
All About Mass-Energy Equivalence56 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