Use app×
Ask a Question
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE

tan 5° tan 25° tan 30° tan 65° tan 85° = ?

← Prev Question Next Question →
0 votes
222 views
in Trigonometry by (32.2k points)
closed by

tan 5° tan 25° tan 30° tan 65° tan 85° = ?

(a) √3

(b) 1√3

(c) 1

(d) none of these

Play Quiz Game >

1 Answer

+1 vote
by (32.3k points)
selected by
 
Best answer

Correct answer = (b) 1/√3

We have

tan 5° tan 25° tan 30° tan 65° tan 85°

= tan 5° tan 25° tan 30° tan(90° − 25°) tan(90° − 5°) 

= tan 5° tan 25° × 1/√3 × cot 25° cot 5° [∵ tan(90° − θ) = cot θ and tan 30° = 1/√3 ] 

= 1/√3

← Prev Question Next Question →

Find MCQs & Mock Test

  1. JEE Main 2025 Test Series
  2. NEET Test Series
  3. Class 12 Chapterwise MCQ Test
  4. Class 11 Chapterwise Practice Test
  5. Class 10 Chapterwise MCQ Test
  6. Class 9 Chapterwise MCQ Test
  7. Class 8 Chapterwise MCQ Test
  8. Class 7 Chapterwise MCQ Test

Related questions

0 votes
1 answer
tan 5° tan 25° tan 45° tan 65° tan 85° =
asked Feb 28, 2022 in Trigonometry by Kratikaathwar (115k points)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

User Contribution to Sarthaks eConnect
Managed by Sarthaks Digitizing India
...