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Show that :- tan48°tan23°tan42°tan67°=1

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Show that :- tan48°tan23°tan42°tan67°=1

Posted by Adarsh Pratap Singh 5 years, 4 months ago

CBSE > Class 10 > Mathematics

4 answers

Neeraja Vashisht 5 years, 4 months ago

tan48°×tan23°×tan42°×tan67°=1 L.H.S. =>tan(90°-48°)×tan(90°-23°) ×tan42°×tan67° => 1/tan42°× 1/tan67°× tan42°× tan67° => 1=1 HENCE PROVED HOPE IT WILL HELP YOU....

1Thank You

꧁༒ Shaurya༻ 5 years, 4 months ago

Hii

0Thank You

Shivani Vaish 5 years, 4 months ago

Haj

0Thank You

Yogita Ingle 5 years, 4 months ago

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

4Thank You

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