sin(α+β)=sinα·cosβ+cosα·sinβ···1-① sin(α-β)=sinα·cosβ-cosα·sinβ···1-② 二式相加,得 sin(α+β)+sin(α-β)=2sinα·cosβ, 记α+β=θ;α-β=φ。 解得 \displaystyle\alpha=\frac{\theta+\phi}{2},\beta=\frac{\theta-\phi}{2} 代入式中即得 \displ...
【解析】 由题意得φ是第一象限角或第四象限角 当φ是第一象限角时, $$ \sin \phi = \sqrt { 1 - \cos ^ { 2 } \phi } = \sqrt { 1 - \frac { 1 } { 1 6 } } = \frac { \sqrt { 1 5 } } { 4 } , $$ $$ \tan \phi = \frac { \sin \phi } { \cos ...
【题目】直线系方程为$$ x \cos \phi + y \sin \phi = 2 $$,圆的参数方程为$$\left\{ \begin{matrix} x = 2 \cos \theta \\ y = 2 \sin \theta \end{matrix} \right.$$,(φ为参数),则直线与圆的位置关系为( )相交不过圆心相交且经过圆心相切相离 ...
The determinant |(cos(theta+phi),-sin(theta+phi),cos2phi),(sintheta,costheta,sinphi),(-costheta,sintheta,cosphi)| is
1. \displaystyle a\cdot sinx\pm b\cdot cosx=\sqrt{a^2+ b^2}\cdot sin(x\pm\phi)(tan\phi =b/a) 2. \displaystyle b\cdot cosx\pm a\cdot sinx =\sqrt{a^2+b^2}\cdot cos(x\mp \phi)(tan\phi=a/b) 注1:上述a、b不能同时为0,即ab≠0。 注2:建议不要死记硬背(重在理解...
Step by step video & image solution for x = costheta + i sintheta এবং y = cosphi + i sinphi হলে, দেখাও যে, x/y + y/x = 2cos(theta - phi) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.Updated on:21...
1. 任意时刻太阳高度角的计算根据公式$$ 式 S i n h = s i n \phi \sin 8 + \cos \phi \cos 8 \cos \omega $$大致分三步进行:(1)计算时角ω,以正午时为 $$ 0 ^ { \circ } $$,上午为负,下午为正,每小时 $$ 1 5 ^ { \circ } $$;如以“度”为单位,其计算式是ω...
【题目】若锐角φ满足$$ \sin \phi - \cos \phi = \frac { \sqrt { 2 } } { 2 } $$,则函数$$ f ( x ) = \sin ^ { 2 } ( x + \phi ) $$的单调增区间为( )$$ A . [ 2 k \pi - \frac { 5 \pi } { 1 2 } , 2 k \pi + \frac { \pi } { 1 2 } ] ...
पहली तरंग के लिए, y(1)=omega sin omegat तथा दूसरी तरंग के लिए y(2)=a(2)cos(omegat+phi) या y(2)=a(2)sin(omegat+phi+pi/2) पहली एवं
Answer to: Evaluate ∫ 10x sin x cos x dx (Simplify your answer.) By signing up, you'll get thousands of step-by-step solutions to your homework...