1 to 5 Fill in the blanks for math, 1 to 1 for math fill in the blanks

1. Solution: sin(6 -a) = sin(-a) = - sina = - sin( a)] = sin( a) = -1 3 .

2. Solution: | cosα |= 1/|secα| = 1/√ (1 + tan²α)= √5/5。

and tan = sin cos = 2 > 0 , and sin < 0 , cos < 0 .

cosα = -√5/5。

3. Solution: original formula = sin( -2) +cos( -2)] = |sin(π-2) +cos(π-2)| = |sin2 - cos2| = sin2 - cos2 。

Therefore, option (a) is selected.

5. Solution: According to the two-fold angle formula and universal formula of trigonometric functions, it is obtained.

sinαcosα = (sin2α)/2 = tanα/(1+tan²α)= (1/3)/[1+ (1/3)²]= 3/10。

11÷2=5…1，16÷3=5…1，21÷4=5…1. Assuming that the dividend is n, the divisor is 5n+1, and the divisor cannot be divided by the divisor.

<> Cai's hands are cracked, and I am suspicious, thank you Yuanxu.

<> this macro front hall is a hidden regret orange.

3. Orange Calendar 21 12 21

Plant spring spike balls.

The tangent equation for the curve y=lnx at the point (1,0) is: y=x-1;

s=t +2t, and its velocity v=ds dt=2t+2;acceleration a=dv dt=2;

darctanx=1/(1+x²)；d[1/(1+x²)]=[-2x/(1+x²)²dx；

f(x)=-x +2x=-(x -2x)=-[(x-1) -1]=-(x-1) +1, the opening is facing downward, and the axis of symmetry is x=1;Therefore, in the interval [1,+ monotonically decreased.

f(x)=e^x+1;Define the domain (-f'(x)=e^x；f ''(x)=e x>0, so it is convex in its defined domain.