View Solution cos alpha+cos beta-cos(alpha+beta)=(3)/(2) then show that alpha=beta=(pi)/(3) View Solution Let alpha=(pi)/(5) and A,=[[cos alpha,sin alpha-sin alpha,cos alpha]] then B=A^(4)-A^(3)+A^(2)-A is View Solution Ifα=π3, prove thatcosα⋅cos2α⋅cos...
If cos alpha=(1)/(2)(x+(1)/(x))cos beta=(1)/(2)(y+(1)/(y)) then cos(alpha-beta) is equal to View Solution If (x) / (a) cos alpha + (y) / (b) sin alpha = 1, (x) / (a) cos beta + (y) / (b) sin beta = 1 and (cos alpha cos beta) / (a ^ (2)...
问答题 利用高斯公式计算曲面积分: (x2cosα+y2cosβ+z2cosγ)dS,S:x2+y2=z2,0≤z≤h;cosα,cosβ,cosγ为此曲面外法线方向余弦。 参考答案: 参考答案: 参考答案:
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1.二倍角公式 $$ \sin 2 \alpha = \boxed { 1 } 2 \sin \alpha \cos \beta $$ $$ \cos 2 \alpha = \boxed { 2 } \cos ^ { 2 } \alpha - \sin ^ { 2 } \alpha = \boxed { 3 } 2 \cos ^ { 2 } \alpha - 1 $$ $$ = 4 1 - 2 \sin ^ { 2 } \alpha ...
【解析】证明: 【解析】证明: \$\because 2 \cos ( \alpha - \beta ) \cos \alpha - \cos [ \alpha + ( \alpha - \beta ) ]\$ \$= 2 \cos ( \alpha - \beta ) \cos \alpha - [ \cos ( \alpha - \beta ) \cos ( \alpha - \sin ( \alpha - \beta ) \sin \alpha...
1/tan alpha + tan beta = cos alpha cos beta/sin(alpha + beta) Verify the identity. dfrac{ sin(alpha - beta)}{cos alpha sin beta} = tan alpha cot beta - 1 Establish the identity. cos (alpha + beta) + cos (alpha - beta) = 2 cos alpha cos beta Establish ...
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Step by step video & image solution for If 2 cos alpha = x + (1)/(x) and 2 cos beta = y + (1)/(y), show that (x^(m))/(y^(n))- (y^(n))/(x^(m))= 2i sin (m alpha - n beta) by Maths experts to help you in doubts & scoring excellent marks in Class 12 exa...
beta } { 2 } ) \\ = - 2 \sin \frac { \alpha + \beta } { 2 } \cos \frac { \alpha + \beta } { 2 } \cdot 2 \sin \frac { \alpha - \beta } { 2 } \cos \frac { \alpha - \beta } { 2 } \\ = - \sin ( \alpha + \beta ) \sin ( \alpha - \be...