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Original = tan70cos10 (tan60tan20-1), tan70cos10 (sin60sin20-cos60cos20) (cos60cos20).

tan70cos10cos(60+20) cos60cos20-cot20cos10sin10 cos60cos20-cot20sin20 2cos60cos20-(cos20 sin20)sin20 2cos60cos20 Click [Review] in the upper right corner, and then you can select [Satisfied, the problem has been solved perfectly].

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It is known that m(1 3,2 2 3), m and n are symmetrical with respect to the origin.

1）cosα、cosβ。

Solution: (1) cos = 1.

2) When [0, ]. Find the maximum: 3sin +sin(2+).

3sinα+sin(π/2+β)3sina+sin(π+2+α)=√3sinα+cosα=2(√3/2sinα+1/2cosα)=2[cos(π/6)sinα+sin(π/6)cosα]=2sin(π/6+α)

When a=5 6, the function has a maximum value of 2

For an ordinary trigonometric function problem, the variables are first unified, and then the coarse period and value range of Zhou Xun Hall are determined. Solution:

1) By question: f(x)= 3sinxcosx+sin 2(x)-1 2 3 2(muzhen sin2x)+1 2(1-cos2x)-1 2cos30°sin2x-sin30°cos2xsin(2x-30°)=sin(2x-6).

The function is sinusoidal:

Let 2k - 2 2x- 6 2k + 2 get: k - 6 x k + 3, so [k - 6, k + 3), volature k z, i.e., monotonically increasing interval.

2) From the question: g(x)=a[sin(2x- 6)]+b,x [ 4, 2],a>0. It can be seen that f(x) is axisymmetric with respect to x= 3, and f(3) is the maximum, and 2- 3> 3- 4, so f(2) is the minimum.

So af( 2) + b g (x) af ( 3) + b. i.e. a 2 + b g(x) a + b, so: a 2 + b = 2, a + b = 5, a = 6, b = -1.

By logarithm: a=log9 3=1 2

then lnx=1 2

x=e^(1/2)=√e

Image by logarithmic function: the bases c and d are between (0,1), so option a is rounded.

When the base number is between (0,1) and the true number is the same, the closer the image is to the x-axis, the smaller the base number is.

When the base number is greater than 1 and the true number is the same, the closer the image is to the x-axis, the larger the base.

Select bf(x) is an even function defined on [-6,6].

f(-3)=f(3)，f(-1)=f(1)f(3)>f(1)

f(3)>f(-1), choose c

From the question, we can see that a=2, b=4, c=-8

Bring in the equation, 2x square + 4x-8 = 0

It can be found that x can be brought into the algebraic formula.