Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and cSC(B). a 14 B (a) sin(a) and cos() (b) tan(a) and cot(6) (c) sec(a) and csc()
cos(O) cot(0) = csc(O) – sin(e) Rewrite cotangent in terms of sine and cosine: cos(O) cot(O) = cos(0) · Rewrite as a single fraction: Use a Pythagorean identity: sin(0) Finally, separate the fraction into two: sin(e) sin(e) = csc(0) – sin(0)
On the back, prove the identity: tan^3(x)csc^2(x)cot^2(x)cos(x)sin(x)=1 Use only the left side and try changing everything to sine and cosine. Original Question Image: On the back, prove the identity: tan'(r)csc(r)cot'(x)cos(x)sin(r)-1 Use only the left side and try changing everything to sine and cosine.
verify the following 1) tan x+cot y= sin(x+y)/cos x sin y 2) tan 5x + cot 5x = 2 csc 10x
2. Solve the given trigonometric equation using Pythagorian Identities, cos? 0 + sin? 0 = 1, 1+tan? 0 = sec, cot? 0+1 = csc 0. (a) 1 - 2 sin’x = cos r. (b) 4 sin’t - 5 sin x - 2 cos” x = 2. (c) 2 tang - 2 sec1+1= = tan”.
Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. csc-csc x-cscx +1 csc x cot x -cot x sec x + tan x csc x 1-sinn sin x cos sin + sin x
3. Prove the Cofunction Identity for sin (-0) = cos using Sum/Difference identities
Use identities to simplify the expression. csc^x- cotx scʻx-cot *x = 1 (Simplify your answer.)
Use sum and difference identities to verify which of the following are identities. 1) sin(Q+8) - 1-tan & tan 8 sin a 2-cot a cot 8 2) cos(a+8) - 2 sin a sin 8 Both the equations are identities. None of the equations are identities Only the first equation is an identity. Only the second equation is an identity.
sin cos tan csc sec cot ??? the six A point on the terminal side of an angle o in standard position is (-15, 20). Find the exact value of each trigonometric functions of e. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. sin = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is not defined. Select the...