tan 0 24) Simplify: seco A)sin 0 B)cos e C)csc 0 D)sin 0 – csc O E) csc 0 – sin 0
Establish the identity. sec - csc = sin e- cos e sec csc Write the left side as a difference of two quotients. sec csc sec @csc @ Cancel the common factors from the previous step. Do not apply any trigonometric identity. 1-0 The expression from the previous step then simplifies to sin 0 - cos using what? O A. Even-Odd Identity O c. Quotient Identity O E. Pythagorean Identity
Simplify the following trigonometric expression tan(a) sec(0) - cos(e) sin(0) csc() seco) 1 + cos(20)
Identify the equation as either an identity or not. 13) 1 + CSC X = COS X + cotx sec X A) Identity B) Not an identity 14) sin 0 sec 0 = cos o esco A) Not an identity B) Identity sin X_= 2 CSC X 15) + sin x 1 - COS X 1+cOS X A) Identity B) Not an identity
Establish the identity (tan 0 + cote) cos 0 = csc Write the left side in terms of sine and cosine. cos Simplify the expression inside the parentheses from the previous step and write the result in terms of sine and cosine. cos Simplify the expression from the previous step and write the result in terms of sin 0 The fraction from the previous step then simplifies to csc using what? O A. Reciprocal Identity OB. Quotient Identity Puthannroan Identity...
Establish each identity
a. sint (cote + tane) = seco b. COS 1 - siny + 1-siny COST = 2 sec v
-/5 POINTS LARPCALC8 5.2.030. 0/2 Submissions Used Verify the identity. (Simplify your answers completely.) 3 cos e cote - 3 = 3 CSC 1 - sin e 3 cos e cot 0-3 3 cos e cote 1 - sin e 1 - sin e 3 cos e - 3 + 3sin e / sin e sin sin e 1 - sin e 3(cos? 0 + sin20) - 3 sin e (1 - sin o) 3 - 3 sin e (1...
Establish the identity 1 - cos 0 sin 0 + sin 0 1 - cos 0 = 2 csc 0. Which of the following shows the key steps in establishing the identity? 1 - cos e sin 0 ОА. + sin e 1 cos e 1 - cos e B + sin e 1 - cos 0 sin e (1 - cos 0)2 + sine 2 = 2 csc 6 sin 0(1 - cos ) cOS (1 - cos 02...
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...
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...