Question

Check all that apply. if csc0 =13/12 then:

a:tan0= 12/5
b:sec0= 12/13
c: sin0=12/13
d: cos0=12/13

Answer 1

a:tan0= 12/5

c: sin0=12/13

Explanation:

cosec t(heta) = 13/12

1/sin t = 13/12

sin t = 12/13

cos t = √ (1 - (12/13)² ) = √ ( 1 - 144/169 ) = √25/169

cos t = 5/13

tan t = sin t/ cos t = (12/13) / (5/13) = 12/5

sec t = 1 / cos t = 13/5

Answer: A ) and C ) are correct:

tan theta = 12/5 and sin theta = 12/13