Web解(1)由可得,因为x,所以cosx≠0,故tanx=,故sin2x-cos2x==-;(2)f(x)=+1=2sinxcosx+2cos2x+1=+cos2x+2,=2sin(2x+)+2,令≤2x+可得,,故函数的单调递减区间为[k],k∈Z,因为x,所以2x+,所以sin(2x+),故函数的值域[1,4].(1)结合向量垂直的坐标表示及同角基本关系即可求解;(2)结合向量的数 … Web已知向量a→=(2sinx,2sinx),b→=(2cosx,2sinx),x∈R.设函数f(x)=a→⋅b→,求:的值;(2)f(x)的最小正周期;(3)f(x)的最大值及其取得最大值时x的值。 ... 最小正周期 …
Solving Trigonometric Equations - Trigonometry Socratic
Web试题分析:(I)利用二倍角公式与和角公式对f(x)进行化简;(II)根据x的范围得出2x+π6的范围,结合正弦函数的性质得出f(x)的最值.试题解析:(I)f(x)=2cos2x+3sin2x=cos2x+3sin2x+1=2sin(2x+π6)+1.∴f(x)的最小正周期T=2π2=π.(II)∵x∈[-π6,π3],∴2x+π6∈[-π6,5π6].∴当2x+π6=-π6时,f(x ... WebAt what argument x is the maximum vertical distance between the curves f ( x ) = 2 cos x f(x)=2cosx and g ( x ) = sin 2 x for x ∈ [ − π /2 , π /4 ] achieved? This problem has … the height of the basket is
Solved At what argument x is the maximum vertical distance - Chegg
Webf(x) = sin(2x) + 2cos(x) Find the first derivative of the function. Tap for more steps... 2cos(2x) - 2sin(x) Find the second derivative of the function. Tap for more steps... f′′ (x) = … WebClick here👆to get an answer to your question ️ Solve: sin 3x + sin x + 2cos x = sin 2x + 2cos^2x . Solve Study Textbooks Guides. Join / Login >> Class 11 >> Maths >> Trigonometric Functions >> Trigonometric Equations ... s i n 3 x − 4 s i n x c o s 2 x = 0. Medium. View solution > View more. More From Chapter. Trigonometric Functions ... WebJan 9, 2024 · Xét hàm số y f x 1 cos2 2x . Chọn câu đúng: sin 4x sin 4x A. df (x) dx .B. df (x) dx . 2 1 cos2 2x 1 cos2 2x cos 2x sin 2x C. df (x) dx .D. df (x) dx . 1 cos2 2x 2 1 cos2 2x Hướng dẫn giải: Chọn B. 2 1 cos 2x 4cos 2x.sin 2x sin 4x Ta có : dy f x dx dx dx dx . 2 1 cos2 2x 2 1 cos2 2x 1 cos2 2x Câu 10. Cho hàm số y x3 5x 6 . the heights 1992 dvd