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.
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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]
8. 2 sinº x-3 sin x-1=0 11. 4 sin’ x + 7 sin x = 6 9. tanx-1=0 12. ( tan x-)(tan x-3) = 0
3. [6 marks] Solve the IVP: cos x + y sin x = sinº x, y(0) = 2.
11. Verify the identity cosx csc? x = csc? x – sinº x– 2. 12. Verify the identity (cos (x + y)][cos (x - y)] = cosx – sin? y.
(1 point) If tan x - -1/3, cosx > 0,, then sin 2x- cos 2x - tan 2x - (1 point) Find cos 29 if sin- 13 85
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.
Verify the identity 1 - sin 2x cos 2x cOS X - sin X COS X + sin x Choose the sequence of steps below that verifies the identity OB. OC. 1-sin 2x cOS 2x 1-2 sinxcosx OA 1 - sin 2x cos 2x 1 - sin X COS X cos2x - sin 2x (cos2x+ sin 2x) - 2 sin x cos x cos2x - sin 2x (COS X - sin x)(COS X - sin x) (COS X + sin...
Evaluate (T/4 sinº (2x) cos (2x) dx. 17/12 Round your answer to 2 decimal places if necessary. For what value of kis the area under the graph of y = 3x2 + 4kx between x = 0 and x = 1, equal to 3? Round your answer to 2 decimal places if necessary. Evaluate 1 x (x + 2x + 1) dx. Jo Evaluate cos (T) da. Cvaluate 5 (23 + 4) dx.
Complete the identity. sin 2 x 1- 1+ cos x = ? O A. tanx OB. o 0 C. cosx OD. cotx