SOLUTION: Find the value of sin theta if tan theta= negative square root of 55 divided by 5. When cosine theta <0.

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Question 840729: Find the value of sin theta if tan theta= negative square root of 55 divided by 5. When cosine theta <0.
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
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Given that tan theta = - (55)^(1/2)/5
the opposite side = (55)^(1/2)
adjacent side = -5 (since the condition given is cosine theta is < 0)
hypotenuse = square root of ( ((55)^(1/2))^2 + (-5)^2)
= Square root of (55 + 25)
=square root of (80)
= 4 *(5)^(1/2)
Sine theta = square root of (55)/ 4*square root of (5)
= square root(5)*square root(11)/4* Square root(5)
=square root(11)/4