Question

given sec theta =13/12 find sin theta , cos theta​

Answer 1

Answer:

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

Step-by-step explanation:

first , we know cos theta = 1/sec theta

so putting the value of sec theta here we get cos theta = 12/13.

now for sine theta , we use the identity sin² = 1 - cos².

putting the value of cos from above we get 1-(12/13)²

which is 169-144/169 = 25/169.

remember this is the value of sin² so now ,

sin theta = √25/169 = 5/13 .

and you got your answer.