2. Prove the following identity. [5] sine+2sin? O cos? 0 + cose=1

Question

Question

math Advanced-Math

Answer 1

Answer #1

To prove sinto + 2 sinto cos² + costo = 1 L-H. S = sinho + 2 sin cos²e + costco = sinto + sine coske t. ginecos? +costo = sin

Answer 2

Similar Homework Help Questions

Prove the identity. 4 cos 40 - 4 sin 40 = 4 cos 20 To verify...

Prove the identity. 4 cos 40 - 4 sin 40 = 4 cos 20 To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct stop and transform the expression according to the step chosen 4 cose-4 sine = 4 cos 20
Establish the identity 1 - cos 0 sin 0 + sin 0 1 - cos 0...

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...
DETAILS MCKTRIG8 5.3.051. (-/1 Points] Prove the following identity. sin 30 -3 sine 4 sino We...

DETAILS MCKTRIG8 5.3.051. (-/1 Points] Prove the following identity. sin 30 -3 sine 4 sino We begin by writing the left side of the equation as the sine of a sum so that we can use a Sum Formula to expand. We can then use the Double-Angle Formulas to replace any terms with double angles. After expanding out the products, we can use a Pythagorean Identity to write the expression in terms of sines. sin 30 = sin + sin...

establish the identity Establish the identity. cos 0 sin = sin 0 - cos 0 -...

establish the identity Establish the identity. cos 0 sin = sin 0 - cos 0 - 1- tan 0 - 1- coto Write the left side in terms of sine and cosine. cos 0 sin o -1- Write each term from the previous step as one fraction. cos?o sin 0 - cos 0 (List the terms in the same order as they appear in the original list.) Add the fractions from the previous step. (Do not simplify.) cos 0 -...
i need to prove the identity 1 + cos 0 + sino 1 + cos 0...

i need to prove the identity 1 + cos 0 + sino 1 + cos 0 - sin sec 0 + tan 0
1-2 cose Solve the following trigonometric identity: cos sin e tan 8 – cote. Show all...

1-2 cose Solve the following trigonometric identity: cos sin e tan 8 – cote. Show all your steps for full marks. [4T]

Establish the identity 1-2 sin?o coso-2 sin o= cos (20) Choose the sequence of steps below...

Establish the identity 1-2 sin?o coso-2 sin o= cos (20) Choose the sequence of steps below that verifies the identity. O A. 1-2 sin cos 20-2 sin “e= (cos20-sine)(12 sin 2e) = 1.cOS (20) = COS (20) OB. 1-2 sin 2ecos 20-2 sin “e= (cos20-sine) (1-2 sin 2e) = 1. cos (20) = cos (20) OC. 1-2 sin 2ecos 20-2 sin “e = (cos 20+ sin?e) (1-2 sin 20) = 1. cos (20) = cos (20) OD. 1-2 sin 20...
cos(O) cot(0) = csc(O) – sin(e) Rewrite cotangent in terms of sine and cosine: cos(O) cot(O)...

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)
Solve the equation on the interval 0 5 0 < 21. 5 sine - cos a...

Solve the equation on the interval 0 5 0 < 21. 5 sine - cos a = -1 00, 40 , 7 0 37 | O None 00, 2

5. Prove the following identity. (sin x + cos x) = 1+sin 2x 6. If cos(x)...

5. Prove the following identity. (sin x + cos x) = 1+sin 2x 6. If cos(x) = , and x E QIV , find the exact value of each of the following. a.sin (2x) b.cos cos()