Question

1-tan^2theta/cot^2theta -1 = tan^2 theta​

Answer 1

Answer:

refer to the image for solution hope it will help you

Step-by-step explanation:

hello

if you want to thank me then pls subscribe my channel

I make videos for maths

channel name maths made easy mme

just you have to write the topic or chapter name and std in the comments section and also subscribe to get notified

I will make videos for that

thanks

Answer 2

Answer:

Step-by-step explanation:

We have:

1 - tan²Ф/cot²Ф - 1

To prove:

1 - tan²Ф/cot²Ф - 1 = tan²Ф

Solution:

We know:

• tan = sin/cos
• cot = cos/sin

So, we get:

=> 1 - (sin²Ф/cos² Ф)/(cos²Ф/sin²Ф) - 1

Taking L.C.M:

=> (cos²Ф - sin²Ф)/cos²Ф/(cos²Ф - sin²Ф)/sin²Ф

Transposing the denominator:

=> (cos²Ф - sin²Ф)/cos²Ф × sin²Ф/(cos²Ф - sin²Ф)

cos²Ф - sin²Ф, cos²Ф - sin²Ф get cancelled:

∴ sin²Ф/cos²Ф = tan²Ф