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# Trigonometry questions I made up

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1) If $$tan(sin^{-1}A)=\frac{cos^2B(tan^4B-1)+1}{tan^2B}$$

Find the value of A.

2) If $$(A+B)^2=\frac{\frac{2}{B}-1+\frac{\sqrt{2}}{B}}{(\frac{B}{A})^2}$$

Express the value of A and B in the form sin x and tan y respectively.

I made up these questions so the questions may not be possible to solve but there is at least 1 solution for each variables in the range 0 > (The variable) > 90 in degrees. Hope these are possible to solve.

Jun 14, 2016

### 4+0 Answers

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MaxWong: Try and enter your questions into Wolfram/Alpha engine and see if it will give you the right answer here:http://www.wolframalpha.com/

I can't do it because I don't have Math keyboard. Just try it and see what you get.

Jun 14, 2016
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Actually I don't want to know the answer, I have it.

I just want to know if my questions are possible to solve.

MaxWong  Jun 16, 2016
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$$tan(sin^{-1}A)=\frac{cos^2B(tan^4B-1)+1}{tan^2B}$$

Hi Max,

If you enter it in a form that I can just copy and past then I will enter it into Wolfram Alpha for you :)

(that means  no   LaTex)

Jun 16, 2016
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(1)      tan(asin A)=((cosB)^2((tanB)^4-1)+1)/(tanB)^2

MaxWong  Jun 16, 2016