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Show that tan 48° tan 23° tan 42° tan 67° = 1 - CBSE Class 10 - Mathematics

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Questions

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

Evaluate the following: tan 48° tan 23° tan 42° tan 67°

Solution

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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 8: Introduction to Trigonometry
Ex.8.30 | Q: 2.1 | Page no. 189
Solution Show that tan 48° tan 23° tan 42° tan 67° = 1 Concept: Trigonometric Ratios of Some Specific Angles.
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