Grade 10Trigonometry
If tan2A=1+2tan2B, prove that 2sin2A=1+sin2B...
If tan2A=1+2tan2B, prove that 2sin2A=1+sin2B...
1 Answer
Vikas TU
Approved Tutor Answer10 Years agoFrom eqn. tan2A=1+2tan2B
sin^2A/cos^2A = 1 +2sin^2B/cos^2B
=> sin^2A*cos^2B/cos^2A = cos^2B +2sin^2B
=> sin^2A*cos^2B = (cos^2B +2sin^2B)*cos^2A
=> sin^2A -sin^2Asin^2B = (1 -sin^2A)(1 + sin^2B) = 1 -sin^2A + sin^2B -sin^2Asin^2B
=>
2sin2A=1+sin2B H.proved
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