Grade 12th passTrigonometry
If sinA – sinB = c and cosA – cosB = d then cosec2 [(A + B)/2] is equal to
If sinA – sinB = c and cosA – cosB = d then cosec2 [(A + B)/2] is equal to
1 Answer
Vishal Kumar
Sin(A) - sin( B) = 2 sin ( A-B /2) cos (A +B/2) = c....1
Cos(A)- cos(B)= 2 sin ( B - A/2)sin ( A+B/2)= d....2
Dividing equation 1 and 2
Cot ( A+B/2) = -c/d
Now as we know that
Cot2x + cosec2x =11
So now calculate cosec2( A+B/2) = 1-( c/d)2
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
Last Activity: 3 Years ago
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
Last Activity: 4 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
Last Activity: 4 Years ago
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
trigonometry
Last Activity: 4 Years ago