Please Solve All Questions Find the exad value of sin 20 if kant = -1/2 with...
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...
need help wirh part a and b 1. Find all different solutions to the triangle problems, if a) a=10, b= 12, 0216 they exist (b) soo-b, e=720 ( = 460 2 sum & Difference Identities sin latb) sina cosb + cos a sinb. Sinca sina cos b-Cosa sinb cos lab) = cos a Casb- sing sinb COSLO-b = cosa cos b+ sino sinb tanla+batang tan b Power reducing Formulas 1 tang tanb sindo - 1-Cosao tanla-b) = tana - tank...
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
what is cos2xcos7x+sin7xsin2x equvivalent to? cos 9x sin9x cos^2(9x)-sin^2(9x) cos5x show the work as well might nwed these formulas 2 sum & Difference Identities sin latb) sina cosb + cos a sinb. Sinca sina cos b-Cosa sinb cos lab) = cos a Casb- sing sinb COSLO-b = cosa cos b+ sino sinb tanla+batang tan b Power reducing Formulas 1 tang tanb sindo - 1-Cosao tanla-b) = tana - tank 1+ tangtanbo cos6= 1+ cosa e Double Angle Identites sin axo...
Verify that the equation is an identity. sin (x-y) tan x- tany sin (x+y) tanx + tany Which of the following statements verifies that the equation is an identity? O A A tan x-tany tanx+ tany sin?(x - y) V1- cos? (x-y) 11 - cos? (x + y) sin(x - y) sin (x+y) O B. sin (x-y) sin cosy - cos x siny sin x- cos y tan x-tany sin (x+y) sin x cos y + cos x siny sin...
and << find the exact value of 4. If cos=- 4 a. sin e 6, tan 8 5. Prove the following identity. (sinx+cos x) =1+sin 2x 6. Ifcos(x)=5, and xc IV, find the exact value of each of the following. a.sin(2x) b.cos NI
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...
is it A B C D Verify that the trigonometric equation is an identity 1 - CSCX 1+ CSC X = 4 tanx CCX 1+ CSCX 1 - CSGX A. 1 - CSC X 1 + CSC X 1 + cScx 1 - cScx COSX 1)2 - (cos x + 1)2 ( cos x + 1)( cos x + 1) 4 cos x 4 cos x = 4 tan ?xcscx cos2x-1 sin ? B. 1- CSCX 1 + CSCX 1...
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
verify the following trigonometric identities. cos y 1-sın y 5, sec y + tany= cos x-sin x -cosx 1-tanx sinx cosx-l 7. sin20+cos 2 θ+ cot 2a 1+tan 2 θ 8.