Verify which of the following are identities. ) 16 sin2 -cos2- tan20 = 16tan Gcsc e...
Use sum and difference identities to verify which of the following are identities. 1) sin(Q+8) - 1-tan & tan 8 sin a 2-cot a cot 8 2) cos(a+8) - 2 sin a sin 8 Both the equations are identities. None of the equations are identities Only the first equation is an identity. Only the second equation is an identity.
help please a,b,c b. 3.(12 pts.) Verify the following identities. a. cos(2x) = cos2x - sinºx sin2 x c. 2 sin? 1 + cos x sin(x + y) sin x cos y = 1- cotx tany
1. a) Substitute u = sin(x) to evaluate sin^2(x) cos^3(x) dx. [trig identity sin2(x)+cos2(x) = 1]. b) Find the antiderivatives: i) sin(2x) dx ii) (cos(4x)+3x^2) dx
please make answer clear and explain 6. (15 points) Verify EITHER ONE of the following identities (your choice). Circle the letter of the problem you want graded: either (a) or (b). Only one problem will be graded (though you can attempt both)-if your choice is unclear, (a) will be graded by default. (a) - sine 1+cos e sin 1+cos = 2 csc 8 ' (b) = 2 cott csct sect-1 Sect+1
2 se the double-angle identities to verify the identity 1+cos(2x 2 cos* x = 9. Solve exactly over the indicated interval. a) sin(2x)-cos.x, all real numbers b) 2 cos(29) =-1, 0 θ < 2π
11. -1 points SAlgTrig4 7 1037 Verify the identity. sin(x) cos(-x) -sin x -cos x This answer has not been graded yet. Need Help? Rea I 12. O1 points SAgTrig4 7.1.040 Verify the identity. (sin(x) + cos(x))1 +2 cos(x) sin(x) This answer has not been graded yet Need Help? 16.0/1 points SAlgTrig4 7 1.063 Verify the identity csc(x) + sec(x) = cos(x) + sin(x) cot(x) + tan(x) .This answer has not been graded yet Need Help? Red 19. -1 points...
please show calculations Solve the equation on the interval 0 s < 2t. 1) 2 cos 0+32 2) tan2 = 3 3) 2 sin2 = sino show calculation please 4) 2 cos2 - 3 cos 0+1=0 5) sin2 - Cos2 0 = 0 Simplify the expression 6) + tan e 1+ sin e cose 7) (1 + cot e)(1-cote) -sce Establish the identity. 8) (sin x)(tan x cos x - cotx cos x) = 1 - 2 cos2x 9) (1...
Find the solutions for cos(2?)=3−sin2(?)−5cos(?)−cos2(?)cos(2x)=3−sin2(x)−5cos(x)−cos2(x), in the interval [0,2?).[0,2π). The answer(s) is/are ?= 5.5 Solutions of Trig Equations: Problem 17 Previous Problem Problem List Next Problem (1 point) Find the solutions for cos(2x) = 3 – sin?(x) - 5 cos(x) - cos(x), in the interval [0, 21). The answer(s) is/are x = Note: If there is more than one solution enter them separated by commas. If needed enter a as pi.
DOUBLE ANGLE IDENTITIES: In excercises 24-42, Verify each identity. #’s 25, 29, 33, 37, 41 please and thank you! In Exerci 23. cs 25>(sinx-cosx)(cosx + sinx) =-cos(2x) ises 23-42, verify each identity. o(24)= cscA secA 1 + cos(2x ) 27. cos2x= cost-sin4x = cos(2x) 31. 8sin2xcos2x= 1-cos(4x 33)- sec2x =-2 sin?rcsc"(2x) 35. sin(3x) = sinx(4cos2x-1) 39, sin(4x) = sin(2x)(2-4sin%) G) sin(4x) = 2sinx cosx-4sin3x cos tan(4x) = 4(sinx)(cosx)[cos(2x)] 1 2sin (2x)
Show that cos e+sin e) sec2 e+2tan 2 cos2 e (12) (a) Hence find all values of 0, where 0<0< 2T, which satisfy the equation sec20+ 2 tan 0 (b) =2(2 + tan e) (cos e+sin e)