Math, asked by yagnasrinadupuru, 3 months ago

Tan theta/cot theta =?​

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Answers

Answered by Anonymous
10

Answer:

  • c) tan²ø

Step-by-step explanation:

Solution:

=> tanø/cotø

Apply formula cotø=1/tanø

=> tanø × (tanø)

=> tan²ø

Hence this is your answer.

More Trigonometric formula:

  • sinø = 1/cosec ø
  • cosø = 1/secø
  • tanø = 1/cotø
  • cosecø = 1/sinø
  • secø = 1/cosø

Trigonometric identities:

  • sin²ø + cos²ø = 1
  • 1 + tan²ø = sec²ø
  • cot²ø + 1 = cosec²ø

Answered by CharanHarshith2010
3

Answer:

tan² theta

Step-by-step explanation:

Option:-a)

tan theta/cot theta= (opp/adj)/(adj/opp)

=> opp×opp and adj×adj we get opp²/adj²

=> tan²theta

So option a is incorrect

Coming to second one

Option:-b)

Sin²theta/cos²theta:-

=>(Opp/Hyp)²/(Adj/Hyp)²

=>Hyp² and Hyp² get cancelled and gives Opp²/Adj²= tan² theta

=>tan² which is =tan² theta

=>So,correct

Option:-c

tan² theta= tan²theta

=>So,correct

Option d)

Sin²theta×1/cos² theta

=> tan² theta ✅

So correct options are [b,c,d]

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