![If a = [(Sin Alpha, Cos Alpha),(-cos Alpha, Sin Alpha)] Then Verify That A'A = I - Mathematics | Shaalaa.com If a = [(Sin Alpha, Cos Alpha),(-cos Alpha, Sin Alpha)] Then Verify That A'A = I - Mathematics | Shaalaa.com](https://www.shaalaa.com/images/_4:224fcb85876c471889528b2b269be222.png)
If a = [(Sin Alpha, Cos Alpha),(-cos Alpha, Sin Alpha)] Then Verify That A'A = I - Mathematics | Shaalaa.com
![If A ( cos alpha , sin alpha) B(sin alpha , - cos alpha ) C(1,2) are the vertices of a triangle ABC then as alpha varies, the locus of its centroid is If A ( cos alpha , sin alpha) B(sin alpha , - cos alpha ) C(1,2) are the vertices of a triangle ABC then as alpha varies, the locus of its centroid is](https://embibe-ask.s3.amazonaws.com/images/production/2018-12-08_16-35-18_New%20Doc%202018-12-08%2022.04.14_1.jpg)
If A ( cos alpha , sin alpha) B(sin alpha , - cos alpha ) C(1,2) are the vertices of a triangle ABC then as alpha varies, the locus of its centroid is
![If tan beta =frac{nsin alpha cos alpha }{1-nsin ^2alpha } , prove that tan left(alpha -beta right)=left(1-nright)tan alpha . | Snapsolve If tan beta =frac{nsin alpha cos alpha }{1-nsin ^2alpha } , prove that tan left(alpha -beta right)=left(1-nright)tan alpha . | Snapsolve](https://wb-qb-sg-oss.bytededu.com/mobile/task_240011/1591869873/bfc57ffe-1f87-4e9d-852c-05a096bf38be.jpg!content)
If tan beta =frac{nsin alpha cos alpha }{1-nsin ^2alpha } , prove that tan left(alpha -beta right)=left(1-nright)tan alpha . | Snapsolve
![If sin alpha + sin beta = a and cos alpha + cos beta = b, show that cos ( alpha + beta ) = b^2 - a^2b^2 + a^2 If sin alpha + sin beta = a and cos alpha + cos beta = b, show that cos ( alpha + beta ) = b^2 - a^2b^2 + a^2](https://haygot.s3.amazonaws.com/questions/1410367_1664496_ans_0b1fb2b3811b4b359d0ad6fd0e8cf14b.jpg)
If sin alpha + sin beta = a and cos alpha + cos beta = b, show that cos ( alpha + beta ) = b^2 - a^2b^2 + a^2
![If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of (tan) theta/2=(tan alpha/2-tan beta/2)/(1-t a n alpha/2 tan beta/2). If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of (tan) theta/2=(tan alpha/2-tan beta/2)/(1-t a n alpha/2 tan beta/2).](https://d10lpgp6xz60nq.cloudfront.net/ss/web/104458.jpg)
If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of (tan) theta/2=(tan alpha/2-tan beta/2)/(1-t a n alpha/2 tan beta/2).
7, If cos (theta +iphi )=cos alpha +isin alpha , prove that(i) sin alpha =pm sin ^{2}theta (ii) sin alpha =pm sin h^{2} phi | Snapsolve
![i) Prove that cos (α + β) )= cos α cos β – sin α sin β.(ii) Prove that cos ( α – p) = cos α cos β + sin α sin β. - Zigya i) Prove that cos (α + β) )= cos α cos β – sin α sin β.(ii) Prove that cos ( α – p) = cos α cos β + sin α sin β. - Zigya](https://www.zigya.com/application/zrc/images/qvar/MAEN12067193.png)