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Question 19 Complete the identity. CSC X cotx = ? sec x O A. sec? x...
Question 18 an mes Support This Question: 1 pt Complete the identity. 1 sec X- = ? sec X O A. sec X CSC X ОВ. - 2 tan?x OC. sin x tan x OD. 1 + cotx
show all work 15-18. Verify each identity. 15. tan x + cotx = sec X csc X 16. 1+sin cos B cos B 1-sin B 17. cosa a-sina a sin a cosa = cota - tan a
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
b. 2 + 2 cotax 2 cotx sec X csc X
Use identities to simplify the expression. csc^x- cotx scʻx-cot *x = 1 (Simplify your answer.)
Use the appropriate reciprocal identity to find the exact value of csc o for the given value of sin e sin = - csc 01 (Type an integer or a fraction. ) Enter your answer in the answer box. Identify the quadrant(s) of an angle that satisfies the given conditions. cos > 0, sec 0 > 0 Choose the correct answer below. O A. I and IV OB. I and III O C. II and III OD. III and IV...
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
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...
if csc x -13 and 3 <x< 2л. Use a half-angle identity to find cos Enter the exact answer. Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 n). Equation Editor Common sin(a) tan(a) cos(a) Y 00 b sec(a) csc(a) cot(a) к Va Va a1 sina) cos (a tan о Ф X COS o
Verify the identity. 20 csc + cote cos 2 2csce Use the appropriate half-angle formula and rewrite the left side of the identity. (Simplify your answer.) Rewrite the expression from the previous step by multiplying the numerator and denominator by csc . Multiply and distribute in the numerator. (Do not simplify.) The expression from the previous step then simplifies to csc + cot 2c5cusing what? O A. Reciporcal and Even-Odd Identities O B. Reciprocal and Quotient Identities OC. Pythagorean and...