Question

if tan teta 21/20 then find sin teta and cos teta​

Answer 1

Answer:

sin theta = 21/29

cos theta = 20/29

Step-by-step explanation:

tan theta = 21/20

sec^2 theta = 1+tan^2 theta

sec ^2 theta = 1 + (21/20)^2

sec ^2 theta = 1+ 441/400

sec ^2 theta = (400 + 441)/400

sec theta = root over ( 841/400)

sec theta = 29/20

cos theta = 1 / sec theta

cos theta = 20/29

tan theta = sin theta / cos theta

tan theta × cos theta= sin theta

21/20 × 20/29 = sin theta

sin theta = 21/29

Please check whether the answer is correct or not.