Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

Sin

Asked by sohit 11th May 2016, 6:29 PM
Answered by Expert
Answer:
1.
L e t space x equals cos open parentheses sin to the power of negative 1 end exponent open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses close parentheses
W e space k n o w space t h a t comma
sin to the power of negative 1 end exponent x equals cos to the power of negative 1 end exponent open parentheses square root of 1 minus x squared end root close parentheses
T h u s comma
s i n to the power of negative 1 end exponent open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses equals c o s to the power of negative 1 end exponent open parentheses square root of 1 minus open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses squared end root close parentheses
space space space space space space space space space space space space space space space space space space equals c o s to the power of negative 1 end exponent open parentheses square root of 1 minus open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses squared end root close parentheses
space space space space space space space space space space space space space space space space space space equals c o s to the power of negative 1 end exponent open parentheses square root of 1 minus 9 over 25 end root close parentheses
space space space space space space space space space space space space space space space space space space equals c o s to the power of negative 1 end exponent open parentheses square root of fraction numerator 25 minus 9 over denominator 25 end fraction end root close parentheses
space space space space space space space space space space space space space space space space space space equals c o s to the power of negative 1 end exponent open parentheses square root of 16 over 25 end root close parentheses
space space space space space space space space space space space space space space space space space space equals c o s to the power of negative 1 end exponent open parentheses 4 over 5 close parentheses
T h u s comma space cos open square brackets sin to the power of negative 1 end exponent open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses close square brackets equals cos open square brackets cos to the power of negative 1 end exponent open parentheses 4 over 5 close parentheses close square brackets equals 4 over 5

2.
L e t space x equals sin open parentheses 1 half cos to the power of negative 1 end exponent open parentheses 4 over 5 close parentheses close parentheses
W e space k n o w space t h a t comma
cos to the power of negative 1 end exponent x equals 2 sin to the power of negative 1 end exponent open parentheses plus-or-minus square root of fraction numerator 1 minus x over denominator 2 end fraction end root close parentheses
T h u s comma
cos to the power of negative 1 end exponent open parentheses 4 over 5 close parentheses equals 2 s i n to the power of negative 1 end exponent open parentheses plus-or-minus square root of fraction numerator 1 minus begin display style 4 over 5 end style over denominator 2 end fraction end root close parentheses
space space space space space space space space space space space space space space space space space space equals 2 sin to the power of negative 1 end exponent open parentheses plus-or-minus square root of 1 over 10 end root close parentheses
s i n open parentheses 1 half c o s to the power of negative 1 end exponent open parentheses 4 over 5 close parentheses close parentheses equals s i n open square brackets 1 half 2 sin to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of 10 end fraction close parentheses close square brackets
space space space space space space space space space space space space space space space space space space equals plus-or-minus square root of 1 over 10 end root
Answered by Expert 12th May 2016, 11:54 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp