Question

if 5sec theta=13 then prove that sin theta=12by13

Answer 1

since

5sec@=13,

then

sec@=13/5,

then

cos@=5/13,


now

sin²@=1-cos²@,

sin²@=1-(5/13)²,

sin²@=1-25/169,

sin²@=(169-25)/169,

sin²@=144/169,

then

sin@=√(144/169),

sin@=12/13

Answer 2

please see this answer.
hope it helps.