Question

(tan +cot)²=sec²+cosec²​

Answer 1

Step-by-step explanation:

tan² + Cot² + 2 = 1 + tan² + 1 + Cot²

tan² + Cot² + 2 = tan² + Cot² + 2

Answer 2

Hence proved

Step-by-step explanation:

Given:

(tan + cot)²= sec² + cosec²​

From taking L.H.S

(tan + cot)²

We know that,

(a + b)² = a² + b² + 2ab

So,

tan² + cot² + 2×tan×cot

We know that,

tan² = sec² - 1

cot² = cosec² -1

tan = sin/cos

cot = cos sin

So,

sec² - 1 + cosec² -1 + 2×sin/cos×cos sin

sec² + cosec² + 2 - 2

sec² + cosec²

L.H.S = R.H.S

Hence proved

Learn more:

https://brainly.in/question/15942893

#learnwithbrainly