The determinant `|(cos C,tan A,0),(sin B,0,-tan A),(0,sin B,cos C)|`
has the value, where A, B, C are angled of a triangle

In a triangle ABC , if cos A = cos B cos C , what is the value of tan A- tan B - tan C ?

In a Delta ABC if tan B=(2sin A sin C)/(sin(A+C)) then tan A,tan B,tan C are in

In a Delta ABC, if cos A=cos B cos C, what is the value of tan A-tan B tan C?

In a Delta ABC, if cos A=cos B cos C, what is the value of tan A-tan B-tan C?

if sin A+sin B=C and cos A+cos B=D and C,D!=0 then the value of sin(A+B) is equal to

The corodinates of the three vertices of a triangle are (a, a tan alpha) , (b ,b tan beta) and (c, c tangamma) . If the circumcentre and orthocentre of the triangle are at (0,0) and (h,k) respectively, prove that (h)/(k)=(cos alpha+ cos beta+ cos gamma)/( sin alpha+ sin beta + sin gamma) .

If the roots of the equation c^(2)x^(2)- c(a+b)x + ab =0 are sin A, sin B where A, B and C are the angles and a, b, c are the opposite sides of a triangle, then the triangle is : (i) right angled (ii) acute angled (iii) obtuse angled (iv) sin A + cos A = (a+b)/(c )