AboutScotto Expertise Any kind of mathematics (calculus, analysis, game theory, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.).
I also have answered some questions in
Physics (mass, momentum, falling bodies),
Chemistry (charge, reactions, symbols, molecules), and
Biology.
Experience Experience in the area: I have tutored students in all areas of mathematics for over 20 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
Publications Maybe not a publication, but I have respond to well oveer 3000 questions on the PC.
That's around 2,000 in basic math and 1,000 in advanced math.
Education/Credentials I aquired well over 40 hours of upper division courses. This was well over the number that were required.
I graduated with honors in both my BS and MS degree from Oregon State University.
I was allowed to jump into a few junior level courses my sophomore year.
Awards and Honors I have been nominated as the expert of the month several times.
All of my scores right now are at least a 9.8 average (out of 10).
Past/Present Clients My past clients have been students at OSU, students at the college in South Seattle,
referals from a company, friends and aquantenances, people from my church, and people like you.
Question Find the 6 trigonometric values of Θ = cos^−1 (3/7).
Give exact answer.
Answer They might mean the second approach I took, or they might mean to find the six trig functions on an anlge between 0° and 90° (0 and π/2 radians).
Approach 1 (probably right)
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If the near side on the triangle is 3, the hypoteneuse is 7 and the far side is sqrt(7²-3²)=√40. These would be exact answers.
The trig functions would be
Θ=sin^-1(√40/7),
Θ=cos^-1(4/7),
Θ=tan^-1(√40/4),
Θ=ctn^-1(7/√40,)
Θ=sec^-1(7/4), and
Θ=csc^-1(7/√40).
(by the way, they aren't on my keyboard, but ° is alt-248, π is alt-227, Θ is alt-233, √ is alt-251 and ² is alt-233)
(or) Approach 2
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Second, there is an angle between 0 and 90 degrees (0 anbd pi/2 radians). Note that I can't figure out how to express them exactly as real numbers.
I'm not sure how to find it exactly and there are only 2 values between 0° and 360° degrees. I do know how to find the six values, though, and that's by adding 360° and 720° to the first two angles.
It is 64.62306647° (1.127885283 radians). Let's call it angle a.