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(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
Explain why the derivative of g(x) = 1/1+t^2 dt is NOT g'(x) = 1 / 1+x -cos^2 x using FTC1 and the chain tan x 1 t 2 1 x rule. Find the correct g’(x). Н tan
Verify the identity COS X + cos x tan?x sec x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step COS X + cos x tan = cos() (Do not simplify.) Apply a reciprocal identity Separate the quotient into two terms Apply the appropriate even - odd identity (Do not simplify) Factor out the greatest common factor, cos x...
pe sint dt = (A) - tans (B) tan-ls (C) - tan-1 s (D) T - tan-1s (E) None
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
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]
cos x + cos 2x cos 3x+ cos 4x 0, is a) 3 c) 7 b) 5 d) 9 Let tan-1 y = tan, + tan-1 ( tan-1 (-Zr where |x| < + v/3 Then a value of y is 1-3z2 1-32 1 + 3z2 1+3 If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to tower, are 300 450 and 60 respectively then the ratio,...
st sin t dt = -(A) - tan s (B) tan1s tan-ls (C) tan-1s (D) T- (E) None
a+b Cos x If tan () Q.9 tan tan tan then find the value of 0.
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.