Question

if 3sec theta= 4cosec theta then cot theta​

Answer 1

Answer:

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Answer 2

Answer:

The value of cotØ is 3/4.

Given:

• 3secØ = 4cosecØ

To find:

• The value of cotØ.

Solution:

=> 3secØ = 4cosecØ

=> secØ/cosecØ = 4/3

But, secØ = 1/cosØ & cosecØ = 1/sinØ

=> (1/cosØ) / (1/sinØ) = 4/3

=> sinØ/cosØ = 4/3

But, cotØ = cosØ/sinØ

=> cotØ = 3/4

The value of cotØ is 3/4.

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Extra information:

Trigonometric ratio:

• cosecØ = 1/sinØ

• secØ = 1/cosØ

• tanØ = sinØ/cosØ

• tanØ =secØ/cosecØ

• cotØ = 1/tanØ

• cotØ = cosØ/sinØ

• cotØ = cosecØ/secØ