Write in the simplest form:begin mathsize 20px style space tan to the power of negative 1 end exponent space open square brackets space 1 bevelled fraction numerator space over denominator space root index blank of space x squared minus 1 end root end fraction close square brackets comma open vertical bar space x close vertical bar greater than 1 end style

Asked by sunil2791 | 21st Apr, 2017, 06:58: PM

Expert Answer:

begin mathsize 16px style Since space the space question space contains space the space expression comma space straight x squared minus 1 comma
we space substitute space straight x equals straight a space cosecθ
So comma space tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of straight x squared minus 1 end root end fraction close parentheses
equals tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of cosec squared straight theta minus 1 end root end fraction close parentheses
equals tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of cot squared straight theta end root end fraction close parentheses
equals tan to the power of negative 1 end exponent open parentheses tanθ close parentheses
equals straight theta end style

Answered by Rebecca Fernandes | 27th Nov, 2017, 12:49: PM