3. Evaluate determinants of (SH cos no sin nel 1-sin no cos nel 114 | 2...
1. Evaluate the following integrals: (1) SH/2 V1 + cos x 1 J-1/4 1+sin x 2 Cind the ravimatolsraren of the regionbounded by the Uron
1 φ.c(Sh<) Cos Csin 2r) 3. sinCcos ) 4. Sin CCos 20) Cos' Csines) 2 , 1 φ.c(Sh
(In2)2 +1 -2 sin r+ (In 2)2 cos x Evaluate /2 cos z da In 2 2° cos x + 2° sin (In 2) ln 2 1 +ln2 ln2 (In 2) (In2)2 +1 -2 sin r+ (In 2)2 cos x Evaluate /2 cos z da In 2 2° cos x + 2° sin (In 2) ln 2 1 +ln2 ln2 (In 2)
SIII 4. Evaluate 3 (cos 30°)2 +2 (sin 60°)2 without using a calculator. 12. Given that sin 0 =-. Show that sin (90° — O)=cos .
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
Evaluate the integral cos(3x) (1 + 2 sin(3x))\n(1 + 2 sin(3x)) Saint dx
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...
5. Evaluate the value of arcsin (-2) 6. Evaluate the expression sin (arcsin (-3)). 7. Evaluate the expression arctan(cos(it)). 8. Evaluate the expression tan (arcsin (-2)
Verify the identity. (3 cos 0-6 sin 0)2 + (6 cos 0+3 sin 0)2 = 45 Choose the sequence of steps below that verifies the identity. O A. (3 cos 0-6 sin 0)2 + (6 cos 0 + 3 sin 0)2 = 9 cos - 36 sin 20 + 36 cos 20+9 sin ?e =9 (cos?0+ sin 20) +36 (cos 20+ sin ?e) = 9+ 36 = 45 O B. (3 cos 0 - 6 sin 0)2 + (6 cos...
1P Question 3 1 Evaluate the double integral: SS sin?(x) dx2 7 o (+ cos(2x)) 0} (x2 + cosº (x)) No answer text provided. 0}(– cos(2x)) 0} (x + 2 cos(2x)) NE Previous