Question

one by tan theta + tan theta is equal to 2 find tan square theta + cot square theta​

Answer 1

Answer:

2

Step-by-step explanation:

hope this helps......

Answer 2

Answer:

2

Step-by-step explanation:

1/tan Ф+tanФ=2     given

⇒1/sinФ/cosФ+sinФ/cosФ=2

⇒cosФ/sinФ+sinФ/cosФ=2

⇒cos²Ф+sin²Ф/sinФcosФ=2

⇒1/sinФcosФ=2                [∵cos²Ф+sin²Ф=1]

⇒sinФcosФ=1/2        ⇒(sinФcosФ)²=1/4

now,

tan²Ф+cot²Ф

⇒sin²Ф/cos²Ф+cos²Ф/sin²Ф

⇒(sin²Ф)²+(cos²Ф)²/sin²Фcos²Ф

⇒(sin²Ф)²+(cos²Ф)²+2sin²Фcos²Ф-2sin²Фcos²Ф/sin²Фcos²Ф

⇒(sin²Ф+cos²Ф)²-2sin²Фcos²Ф/sin²Фcos²Ф

⇒(1)²-2×(1/2)²/(sinФcosФ)²

⇒1-2×1/4/1/4

⇒1-1/2/1/4

⇒1/2/1/4

⇒2 ans