8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ<0 (b) (5pt) Find cos θ , if sin θ 8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
Verify the identity: cOS X + sin x tan x = sec x
Verily the identity sec 0-cos 0-tan 0sin 0 To verily the identity, start with the more complicated side and transfomit to look ke the other side Choose the comect transformations and transform the expression at each step sec 0-cos 0 -cos0 tan Osin 0 Verify the identity sec 0-cos 0= tan 0 sin 0 To verify the identity, start with the more complicated side and transfo sec 0- cos 0 cos 0 Factor out the greatest common factor Apply the...
Verify that the equation is an identity. sec x-cos x =sin x tan x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. sec x-Cos x= -COS X = Use a common denominator to perform the subtraction = Separate the expression into two factors = sin x tan x
Solve the equation on the interval [0.2π). (tan θ + 1)( cos θ-1):0 Use an identity to solve the following equation on the 2 2 cos x sin x 1 0 Select the correct choice below and, if necessary, filli (Type your answer in radians. Use integers ort separate answers as needed.) There is no solution. 0 B. Solve the equation on the interval [0.2π). (tan θ + 1)( cos θ-1):0 Use an identity to solve the following equation on...
Time series analysis 1. (a) Use Euler's identity e¡θ-cos θ + i sin θ to prove that sin θ=-(eiO , 2i (b) Use the identities above and the formula for the sum of a geometric series to prove that if n is an integer and j E 1,2,... ,n} then TL TL sin-(2Ttj/n)- n/2 so long as J关[m/2, where Laj is the greatest integer that is smaller than or equal to x (c) Show that when j 0 we have...
Establish the identity. 1 - sin e 1+ sin e = (sec - tan e) Starting with the right side, which shows the key steps in establishing the identity? 1 + sin e 1 1 - sin 0 OA. (sec 0 - tan 9)2 = sec? -tan?= (1 - sin 02 1- sin 1 - sine ОВ. 2 sin 0 sine (1 - sin oy? (sec - tan )2 = cos? e cos2 e O c. 1 - sin (1...
Verify the identity: sin 2x/sin x - cos 2x/cos x = sec x Solve the equation tan theta = Squareroot 3.
i need to prove the identity 1 + cos 0 + sino 1 + cos 0 - sin sec 0 + tan 0
is it A B C D plz help Verify that the trigonometric equation is an identity. 1 - cScx 1 + cScx = 4 tan 2xCSC X 1 - cScx 1 + cscx O A. 1 - CSC X 1 + CSC X 1 + cscx (cos x - 1)2 - (cos x + 1)2 1 - CSC X (cos x + 1)(cos x - 1) - 4 COS X 4 COS X 4 tanx C5CX cos2x-1 sin 2x OB....