math

Question

Question

use a half-angle formula to fill in blanks in the identity below:

(cos(7x))^2= _____ + ____ cos(___)x

college

Answer 1

Answer #1

Solution:

uisng following formula to find the value of $(\cos (7 x))^{2}$

Formula:

$\cos ^{2}(a)=\frac{1}{2}[(1+\cos (2 a))]$

$(\cos (7 x))^{2}=\frac{1}{2}[1+\cos (2(7 x))]$

$=\frac{1}{2}[1+\cos 14 x]$

$=\frac{1}{2}+\frac{1}{2} \cos (14 x)$

answered by: RAMESH RAJAK

Answer 2

Similar Homework Help Questions

Use half angle formulas or formula for reducing powers to fill in the blanks in the...

Use half angle formulas or formula for reducing powers to fill in the blanks in the identity below: 1 (sin(5x))4 = 1 cos 2 3) + g cos Question Help: Message instructor Use a half angle formula or formula for reducing powers to fill in the blanks in the identity below: (cos(4x))2 = + cos
EXAMPLE 2 Find sin$(7x) cos”7x) dx. SOLUTION We could convert cos?(7x) to 1 - sin?(7x), but...

EXAMPLE 2 Find sin$(7x) cos”7x) dx. SOLUTION We could convert cos?(7x) to 1 - sin?(7x), but we would be left with an expression in terms of sin(7x) with no extra cos(7x) factor. Instead, we separate a single sine factor and rewrite the remaining sin" (7x) factor in terms of cos(7x): sin'(7x) cos”(7x) = (sinº(7x))2 cos(7x) sin(7x) = (1 - Cos?(7x))2 cos?(7x) sin(7x). in (7x) cos?(7x) and ich is which? Substituting u = cos(7x), we have du = -sin (3x) X...
is shown cos 7x- cos 9x The graph with the equation y sin 7x + sin...

is shown cos 7x- cos 9x The graph with the equation y sin 7x + sin 9x in a [0,2xx] by [-2.2.1) viewing rectangle a. Describe the graph using another equation b. Verify that the two equations are equivalent D a. Write another equation of the given graph (Type an equation using x as the variable) b. To verify that the two equations are equal, start with the numerator of the right side and apply the appropriate sum-to product formula...

if csc x -13 and 3 <x< 2л. Use a half-angle identity to find cos Enter...

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
2) (12 pts.) a. Write the double-angle identity: COS(20) = 2cos20 - 1 b. Make the...

2) (12 pts.) a. Write the double-angle identity: COS(20) = 2cos20 - 1 b. Make the substitution 6 = Solve for cos to obtain the half-angle identity for cosine. d. Repeat steps ac, starting with cos(20) = 1 - 2 sin²0 , to obtain the half-angle identity for sine. C.
QUESTION 12 Use a double-angle or half-angle identity to find the exact value of: cos(0) =...

QUESTION 12 Use a double-angle or half-angle identity to find the exact value of: cos(0) = and 270° <=< 360°, find sin 5 OAV10 10 B. 10 C. None of these OD 10 3 17 OE 4 QUESTION 13 Use a double-angle or half-angle identity to find the exact value of: 3 sin(0)= and 0° <o<90° , find tan 5 - šar 10 OA. 3 B.V10 Octs OD. -V10 E V30 QUESTION 11 Use a double-angle or half-angle identity to...

1. Using the half-angle formulas fine the EXACT value of cos(22.5o) 2. verify the identity cos(3x)=(1-4sin2(x))cos(x)...

1. Using the half-angle formulas fine the EXACT value of cos(22.5o) 2. verify the identity cos(3x)=(1-4sin2(x))cos(x) 3. find the EXACT solutions in the interval [0,2pi) sin(2beta)-2cos(beta)=0 ******Please do not use and decimals in the set or answer process***** Thank you so much
QUESTION 3 Using the appropriate identity below, find the value of cos cos( 5 – B).ca...

QUESTION 3 Using the appropriate identity below, find the value of cos cos( 5 – B).ca (Angles are measured in radians.) Formula Sheet Sum & Difference Identities Half Angle Formulas CON 1 + cos(0) 2 cos(0) 2 sin - + cos(a+B) cos(a) cos(8) – sin(a) sin() cos(a-B) cos(a) cos(8) + sin(a) sin() sin(a+b) sin(a) cos(8) + cos(a) sin(8) sin(a -B) sin(a) cow (8) - cos(a) sin() tan(a)tan(B) tan(a+B) 1 - tan(a)tan (8) tan(a)-tan(8) tan(a-) 1+tan(Q) tan() Power Reduction Formulas tan...
Q a cos 7x- cos 9x The graph with the equation y= is shown sin 7x...

Q a cos 7x- cos 9x The graph with the equation y= is shown sin 7x + sin 9x in a [0,2x,x] by [-2.2.1] viewing rectangle. a. Describe the graph using another equation. b. Verify that the two equations are equivalent 22 a. Write another equation of the given graph y = tan x (Type an equation using x as the variable) b. To verify that the two equations are equal, start with the numerator of the right side and...

Verify the identity. 20 csc + cote cos 2 2csce Use the appropriate half-angle formula and...

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...