Question

sec theta cos alpha= root 2
tan theta cot alpha = root 3
find tan theta and tan alpha

Answer 1

Step-by-step explanation:

sec theta cos alpha= root 2

cos alpha/cos theta = root 2

Now,

tan theta cot alpha = root 3

sin theta/sin alpha × cos alpha/cos theta = root 2

sin theta/sin alpha × root 2 = root 2

sin theta/sin alpha = 1

Therefore,

tan theta and tan alpha =

sin theta/sin alpha × cos alpha/cos theta. = 1×1/ root 2

= 1/√2