Answer:
read below
Step-by-step explanation:
If you know tangent of theta is 5/3 and it is in the 3rd quadrant, then you know the sides will be going in the negative direction and the real values of the sides would be -5/-3. You can use pythagorean theorem to figure out that the hypotenuse would be sqrt(5^2+3^2) = sqrt(34). Then you can use soh cah toa: sin = opp/hyp, cos=adj/hyp tan = opp/adj. You know that opp = -5, adj = -3, and hyp = sqrt(34) For cosine theta, it would be -3/sqrt(34) and csc is just 1/sin so csc would be hyp/opp = sqrt(34)/-5.
Answer:
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Step-by-step explanation:
From the diagram, 
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The side of the triangle with length 11.9 is adjacent to the given angle.
We also know the hypotenuse to be 14.5 units.
We therefore use the cosine ratio to get;
We take the inverse cosine of both sides to get;
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Answer:
58r
Step-by-step explanation:
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We have that
1/16 = 64<span>^x
applying log both sides
log(1/16)=log(</span>64^x)
log 1-log16=x*log64
-log 16=x*log 64
divide by log 64 both sides
x=-log 16/log 64
log 16=log 2^4-----> 4*log 2
log 64=log 2^6-----> 6*log 2
-log 16/log 64=(-4*log 2)/(6*log 2)-----> -4/6------> -2/3
the answer is
x=-2/3
B. 82 because complementary angles equal 90˚ combined and 90-8=82
