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

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

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

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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?
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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.3 | Q 2.1 | Page 189
RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Exercise 10.3 | Q 2.1 | Page 53
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