Sinθ = (2/3) tanθ < 0 Implies tanθ = Negative.
For sin positive and tan negative, implies θ is in the second quadrant.
<span>Sinθ = (2/3) = opposite / Hypotenuse.
Adjacent side:
x</span>² + 2² = 3²
x² + 4 = 9<span>
</span>x<span>² = 9 - 4
</span>
x<span>² = 5
</span><span>
x = </span>√5 = Adjacent.
<span>
cos</span>θ = Adjacent / Hypotenuse = √5 / 3
<span>
Since </span><span>θ is in the second quadrant, cosine is also negative in the second quadrant.
</span><span>
Therefore:
</span>cos<span>θ = - (√5/3)
</span>
The last option from the top : <span>negative square root of 5 over 3</span>
Answer:13 years,1 month, and 29 days
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
