Use app×
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
0 votes
78 views
in Trigonometry by (113k points)
closed by

tan 8° tan 48° tan 42° tan 82° = ?


1. 1/2
2. 1
3. √3/2
4. √2

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 2 : 1

Concept:

Formula used:

tan A × cot A = 1

tan (90 - θ) = cot θ 

Calculation:

tan 8° tan 48° tan 42° tan 82°

= tan 8° tan 48° tan (90° – 48°) tan (90° – 8°)

= tan 8° tan 48° cot 48° cot 8°

= 1 × 1 = 1

The value of tan 8° tan 48° tan 42° tan 82° is 1. 

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

...