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
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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) (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 so we can rationalize the denominator.
Use the rule
is the final answer
Note: if you are not required to rationalize the denominator, then you can stop at this step.
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