Home
Class 10
MATHS
If tan theta+1/(tan theta)=2, then show ...

If `tan theta+1/(tan theta)=2`, then show that `tan^(2)theta+1/(tan^(2)theta)=`0

Text Solution

AI Generated Solution

To solve the equation \( \tan \theta + \frac{1}{\tan \theta} = 2 \) and show that \( \tan^2 \theta + \frac{1}{\tan^2 \theta} = 2 \), we can follow these steps: ### Step 1: Start with the given equation We have: \[ \tan \theta + \frac{1}{\tan \theta} = 2 \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 7.4|9 Videos

  • TRIGONOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 7.5|7 Videos

  • TRIGONOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 7.2|5 Videos

  • THEOREMS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CIRCLE|15 Videos

Similar Questions

Explore conceptually related problems

tan theta+(1)/(tan theta)=2 then prove that tan^(2)theta+(1)/(tan^(2)theta)=2

tan2 theta tan theta=1

tan2 theta xx tan theta=1

If tan theta+(1)/(tan theta)=2, find the value of tan^(2)theta+(1)/(tan^(2)theta)

If tan2 theta*tan theta=1, then theta=

If tan theta + (1)/(tan theta) = 2, then tan^2 theta + (1)/(tan^2 theta) is equal to

If "tan" 2 theta "tan" theta =1, "then" theta =

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)