Grade 11Trigonometry
value of tan200(cot10-tan10)is
3 Answers
Sathya
The answer is 2....
Vishal Kamalakannan
Write tan200 as tan(180+20)=tan20.
cot10-tan10=(cos10)^2-(sin10)^2/(sin10cos10)
=2*cot20.
The product of the two is 2. :)
Vaishali Senad
Tan200°=tan(180°+20°)
Tan200° [Cot10°-tan10°]
=Tan(180°+20°) [1/tan10°-tan10°]
=Tan20° [1-tan^2 10°/tan 10°]
=Tan(10°+10°) [1-tan^2 10°/tan 10°]
=[Tan10°+Tan10°/1-tan^10°] [1- tan^2 10°/tan10°]
=2 tan 10°/tan 10°
=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