Question

write tantita in terms of sin Rita and costita​

Answer 1

Answer:

(i)We have, tantheta= sin theta/cos theta= sin theta/√(1-sin²theta)

that's tan theta in terms of sin theta.

and also (ii)we have, tan theta= ± √(1-cos²theta)/cos theta

that's tan theta in terms of cos theta.

Step-by-step explanation:

using the trigonometric indentities

(i) •tan theta= sin theta/cos theta

=> tan theta= sin theta/ √cos²theta

=> tan theta= sin theta/√(1-sin²theta)

(ii)• tan theta= sin theta/cos theta

•sin²theta + cos²theta= 1

=> sin theta= ±√(1-cos²theta)

therefore, tan theta= sin theta/cos theta= ±√(1-cos²theta)/ cos theta