Math, asked by trupti084, 1 year ago

tan50°=tan40°+2tan10°

Answers

Answered by adityamahale2003

21

Step-by-step explanation:

We know that,

tan(A-B) = (tanA-tanB)/(1+tanAtanB)

Replacing A and B by 50˚ and 40˚ respectively,

→tan(50˚-40˚) = (tan50˚-tan40˚)/(1+tan50˚tan40˚)

tan10˚ = (tan50˚-tan40˚)/(1+tan50˚cot50˚) [cotx=tan(90-x)]

tan10˚ = (tan50˚-tan40˚)/(1+1)

2tan10˚ = tan50˚ - tan40˚

∴tan50˚=tan40˚+2tan10˚

Previous Question

Next Question

Similar questions

Chemistry, 6 months ago

Which of the following statements is correct? (A) Only internal energy is a state function but not work (B) Only work is a state function but not internal energy (C) Both internal energy and work are state functions (D) Neither internal energy nor work is a state function...

Social Sciences, 6 months ago

The Communist Government in Russia was founded by........................

Psychology, 6 months ago

meaning of diya in english hindi as ur choice...

Biology, 1 year ago

State three reasons and preservation method of controlling hair fall???

Math, 1 year ago

1+4÷3*9of(6-2) value of the expression...

Science, 1 year ago

identify the name and functional group present in following compounds....1) CH2-CH=CH2...... 2) CH3-C=CH..... 3). CH3-CH2- CL..... 4) CH3-CH2-NO2.....

English, 1 year ago

cumbersome - make a sentence...

Math, 1 year ago

the list price of a shirt is Rs 650 is value added tax of 12% is charged on it how much will I have to pay for the shirt...