Math, asked by kavya1046, 1 year ago

show that tan 48 degree and tan 23 degree and tan 42 degree and tan 67degree equal to 1​

Answers

Answered by kavyavijayny
2

Answer:

use formula: tan (90 - a) = cot a

Step-by-step explanation:

tan 48 x tan 23 x tan 42 x tan 67 = 1

LHS

= tan 48 x tan 42 x tan 67 x tan 23

(or)

= tan 48 x tan (90 - 48) x tan 67 x tan (90 - 23)

= tan 48 x cot 48 x tan 67 x cot 67

[tan = 1/cot]

= 1 x 1

= 1

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