Use trig identities to rewrite the integral then integrate.
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Use trig identities to rewrite the integral then integrate. 1. 2. 3. 4. 5. 6. tan(r)dr tan(r)dr (sinz + sinz +...
1. Begin by making the substitution u=ex . The resulting integral should be ripe for a trig substitution. 2. Make a choice of trig substitution based on the ±a2±b2u2 term you see after the substitution. With the right choice, after substituting and rewriting using sin/cos, you should again have something fairly nice to solve as a trig integral. 3. The substitution sin(2θ)=2sin(θ)cos(θ) is useful after you integrate. 4. Don’t forget to back substitute (through several substitutions!) until everything is in...
6) Use the fundamental identities to find the values of sin(a), tan(a), and sec(a) if cos (a) 3 and tan (a)>0 5 (8 pts)
O TRIGONOMETRIC IDENTITIES AND EQUATIONS Double-angle identities: Problem type 1 3 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant III. 10 . 0/0 sin 2x = X5 ? cos 2x tan 2x L
(4) Evaluate the line integral F dr where C is the epicycloid with parametrization given by r(t) 5 cos t - gradient of the function f(x, y) = 3 sin(ry) + cos(y2) cos 5t and y(t) = 5 sin t - sin 5t for 0 < t < 2« and F is the (5) EvaluateF dr where F(x, y) with counterclockwise orientation (2y, xy2and C is the ellipse 4r2 9y2 36 _ F dr where F(r, y) = (x2 -...
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
Question 9 (1 point) Rewrite the following expression with an exponent no higher than 1. tan (r A) sin2(r) cos2(z) B) 3-4cos(r)-cos(2z) 3+4cos(r)+cos(2a) C)2 +1 cos() sin(r) D) 3-5cos() 3+5cos(a) Question 9 (1 point) Rewrite the following expression with an exponent no higher than 1. tan (r A) sin2(r) cos2(z) B) 3-4cos(r)-cos(2z) 3+4cos(r)+cos(2a) C)2 +1 cos() sin(r) D) 3-5cos() 3+5cos(a)
(1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=| (1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=|
need help with #8, 10 and 11 please! 8. cos x tan x-3cos x=0 Use Identities to Solve Trigonometric Equations Solve on the interval [0,2x). (compare to #7) 9. 2 sin'x-5 cos x+S=0 211-cos? (x) - Scos(x)+s=0 - 2 cos? (x) - 5 cos(x) + 750 2 cos (X)(-cosx+1)+7 (-cosx+1)=0 COSXFO 2 cosx+7=0 X=0 10. sin 2x = cos X 11. sin x = COS X
1. (5 pts. Use identities to find the exact values of cos 0 and tan 0 if sin =- and is in the third quadrant. Show your work.
integrate. state du and u a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax