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Tricky FP2 Question differential equations

Question sourced from the OCR FP2&3 Textbook Exercise 1C Q5:
Can someone help answer these:
Q. Write an equation connecting x and y not involving trigonometric functions if:
a) sec^-1(x) = cosec^-1(y)
ANSWER: x^2 + y^2 = x^2y^2
b) cot^-1(x) = tan^1(x)
ANSWER: xy=1
let sec-1x = Φ

let cosec-1y = Φ

secΦ = x

cosecΦ = y

now use your trig skilz...
Thank you!! Got the answer now :smile:

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