Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

how to simplify trig identities

Sagot :

LammettHash

cos(x) (tan(x) + cot(x))

Recall that tan(x) = sin(x)/cos(x) and cot(x) = 1/tan(x) = cos(x)/sin(x). Then

cos(x) (sin(x)/cos(x) + cos(x)/sin(x)) = sin(x) + cos²(x)/sin(x)

Write both terms with a common denominator and combine the fractions:

sin²(x)/sin(x) + cos²(x)/sin(x) = (sin²(x) + cos²(x))/sin(x)

Recall the Pythagorean identity,

sin²(x) + cos²(x) = 1

so our expression reduces to

1/sin(x)

Finally, recall that csc(x) = 1/sin(x) and we're done. So

cos(x) (tan(x) + cot(x)) = csc(x)

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.