Ask a Question

Show that tan 48° tan 23° tan 42° tan 67° = 1

← Prev Question Next Question →
+1 vote
240 views
asked May 7, 2017 in Mathematics by Rohit Singh (61,782 points) ● 36 ● 142 ● 452

1 Answer

+1 vote
answered May 7, 2017 by sforrest072 (157,439 points) ● 63 ● 448 ● 1259
selected May 7, 2017 by Rohit Singh
 
Best answer

Answer:  tan 48° tan 23° tan 42° tan 67°
    = tan (90° - 42°) tan (90° - 67°) tan 42° tan 67°
    = cot 42° cot 67° tan 42° tan 67°
    = (cot 42° tan 42°) (cot 67° tan 67°) = 1×1 = 1

← Prev Question Next Question →

Related questions

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.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

Related questions

© 2017 Sarthaks eConnect
Managed by Sarthaks Digitizing India
...