Question

If tan θ + cot θ = 5, find the value of tan2
θ + cot2
θ

Answer 1

Answer:

hope this helps you

Step-by-step explanation:

Given,

tanθ+cotθ=5

Now squaring both sides we get,

⇒(tan

2

θ+cot

2

θ+2.tanθ.cotθ)=25

⇒tan

2

θ+cot

2

θ=25−2 [ Since tanθ.cotθ=1]

⇒tan

2

θ+cot

2

θ=23.

Answer 2

Question:-

If tan θ + cot θ = 5, find the value of tan²

θ + cot²

Given:-

tan θ + cot θ = 5

Answer:

squaring both sides,

→ ( tan² θ + cot² θ + 2. tan θ . cot θ) = 25(5²=25)

→ tan² θ + cot² θ = 25-2 = 23.