Grade 10Trigonometry
Prove That tan70-tan20=2tan50 Ans I need plz help me
Prove That tan70-tan20=2tan50 Ans I need plz help me
2 Answers
Saurabh Koranglekar
tan70=(tan20+tan50)/1-tan20tan50
tan70-tan20tan50tan70=tan20+tan50
Also tan70tan20=tan70cot70=1
tan70-tan50=tan20+tan50
So tan70=tan20+2tan50
tan70-tan20tan50tan70=tan20+tan50
Also tan70tan20=tan70cot70=1
tan70-tan50=tan20+tan50
So tan70=tan20+2tan50
Arun
"According to the trigonometric identity,
tan70 = tan (20 + 50)
tan70= (tan20 + tan50) / 1-tan20 tan50
Tan70 - tan20 tan50 tan70= tan20 + tan50
Also tan70 tan20 = tan70 cot70 = 1
Hence, it will change to following equation
tan70 - tan50 = tan20 + tan50
So tan70 = tan20 + 2tan50
Regards
Arun (askIITians forum expert)
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