1. cos 4 x-sinº x = cos 2x 6 6 2. sin x + COS x = 1-3sin ?x cos” x 3. cos 2x = 1-tanx 1+tanx 4. 2sinx cosx = cos(x-y) – cos (x+y)
7. Show that sin. nx-zs -zsin sin’x+ 1 4 3 sin' x sinº x +...= 2 sin x 2+sin x for all x ER
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]
3. [6 marks] Solve the IVP: cos x + y sin x = sinº x, y(0) = 2.
Question 12 Find the derivative of the function f(x)= (in(cox) + sinº(x))2. • f'(x) = 12(In(cox) + sin?(x)) (3sin?x cosx – tanx) • f'(x) = 12(In(cox) + sin?(x))+(3sinx cos?x - tanx) o f'(x) = 12(In(cox) + sin(x))(3sinx cosx + tanx) o f'(x) = 12(In(cox) + sin}(x))^2(3sin?x cosx + tanx) A Moving to another question will save this response.
Solve for å by showing all the details. a) tan” x — 4 sinº x = 0 where 0 < x <a b) sec(sin-1 Væ2 – 1) c) In(x) – In(3x2 + 2) = ln(K)
please show work :) 5.Solve 3 sinº 8 tan 8 – 13 sinº 8 = 0 for exact solutions over the interval 6. Solve Triangle ABC, given that A = 47°32', b = 7956x c=115).
2 3 S1 0 1 0 114 4 13 1 0 15 7 2 4 1 14 3|15 12 8 4 5 6 7 8 9 10 11 12 13 14 15 1 2 15 11 8 3 10 6 12 5 9 0 7 4 14 2 13 1 10 6 12 11 9 5 3 8 8 13 6 2 11 15 12 9 7 3 10 5 0 2 4 9 1 7 5 11 0 6...
Given a right triangle with sin(0) = 7 11 determine the value of the other trigonometric ratios of e. 1 1. cos(O) = 6 sqrt(2/11 2. tan(O) = 7 sqrt(27/12 3. sec(0) = 6 sqrt(27/7 4. csc(0) = 11 sqrt(2/12 5. cot(0) = 11/7 Use exact notation, no decimal approximations. If you need to write a number such as V3. type out sqrt(3).
2 0 f(x) g(3) 9 4 2 2 1 2 6 0 4 3 7 4 1 0 5 6 1 6 7 9 7 3 5 8 5 3 9 8 8 f(g(8)) = g(f(9)) = f(f(2)) = g(9(3)) = Question Help: Video Video Submit Question