Math, asked by mrudulavarsini, 6 months ago

prove that tan 50 - tan40 = 2tan10

Answers

Answered by Anjali13082008

3

tan50= tan(40+10)

we have tan(a+b) = (tan a +tan b)/(1-tan a tan b)

tan(40+10) = (tan40+ tan10)/(1-tan40tan10)

tan50 = (tan40+ tan10)/(1-tan40tan10)

tan50(1-tan40tan10)=tan40+ tan10

tan50-tan50tan40tan10 = tan40+tan10

and tan50 = tan(90-40) = cot40

=> tan50-cot40tan40tan10 = tan40+ tan10

tan50-tan10 = tan40+ tan10

because cot40= 1/tan40

tan50 = tan40+2tan10

Previous Question

Next Question

Similar questions

Math, 3 months ago

if x/2=-4 then 2x is what ...

Math, 3 months ago

x+1=5 please answer fast ...

Social Sciences, 3 months ago

1 What was the recurrent theme of jonaki...

English, 6 months ago

what do you like doing on a holiday .First standard student 's project.who will give correct answer they will be mark as brainliest...

English, 6 months ago

Change in Indirect Speech. Mary said,"The decks are smashed .We are full of water "...

Math, 10 months ago

two angles of a triangle are 45°and 75° find the third angle...

Chemistry, 10 months ago

which metals can be separated with the help of wilfley table method .

English, 10 months ago

Gramm (A) In each of the followin wch of the following sentences select the verb form that is in agreement with its subject 9. Either your 1. One of my best friends always lying my best friends.................. (has/have) won the National Talent Search scholarship. Four litres of milk..................... (islore) still 10. He can with both his 11. Each of the b . given a Chri 12. Oil and wate...