SOLUTION: θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value. Sinθ= 2/7, Cosθ= 3 radical 5/ 7, find tan

Algebra ->  Trigonometry-basics -> SOLUTION: θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value. Sinθ= 2/7, Cosθ= 3 radical 5/ 7, find tan      Log On


   

Question 1152350: θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value.
Sinθ= 2/7, Cosθ= 3 radical 5/ 7, find tan
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

is given

is also given

is one of the many trig identities



Plug in given values

Flip the second fraction and multiply



The 7s cancel. See note below.

Multiply top and bottom by sqrt%285%29 so we can rationalize the denominator.

Use the rule sqrt%28x%29%2Asqrt%28y%29+=+sqrt%28x%2Ay%29





is the final answer

Note: if you are not required to rationalize the denominator, then you can stop at this step.