y=3sin(π/6-2x),1.最小值及其对应的x的值 2.x∈[0,3/4],求值域
人气:311 ℃ 时间:2020-05-21 16:32:41
解答
y=3sin(π/6-2x),
当π/6-2x=2kπ-π/2时,
即x=-kπ+π/3,
即x=kπ+π/3,(k为整数)
函数有最小值:y=-3;
x∈[0,3π/4],则:
π/6-2x∈[-4π/3,π/6].
sin(π/6-2x)∈[-1,√3/2],
y∈[-3,3√3/2].
所以 x∈[0,3π/4]时,函数的值域为[-3,3√3/2].
推荐
- y=3sin(π/6-2x),1.最小值及其对应的x的值 2.x∈[0,3/4],求值域
- 已知x属于[-60,120] (1) 求函数y=cos的值域(2)求函数y=-3sin^2x-4cosx+4的最大值和最小值
- y=sin^2x+sin (π/2-x)+3sin^2(3π/2-x)若tanx=0.5.求y值;若x∈【0,π/2】求y值域
- 若圆x^2+y^2-2x-2y+1=0,则(x^2+y^2)最小值为 ,(x^2+y^2+2x)的最大值为 ,(2x+y)的值域为 .
- 数学:y=3sin(2x+π/4),x∈R,求最大最小值集合
- 鱼虱子为什么能浮在水面上?请用物理知识回答.
- 味觉和嗅觉感受器均感受什么信息,两者相互影响形成味觉
- After having been wounded towards the end of the war,he had been sent to hospital and was separated from his unit.
猜你喜欢