Question

if tan0+cot0 =3then find the value of tan²0+cos²0​

Answer 1

Answer:

tanΘ + cotΘ = 3

squaring both the sides

(tanΘ + cotΘ)² = 3²

tan²Θ + cot²Θ + 2 × tanΘ × cotΘ = 9

tan²Θ + cot²Θ + 2 × tanΘ × 1/tanΘ = 9 [cotΘ = 1/tanΘ]

tan²Θ + cot²Θ + 2 = 9

tan²Θ + cot²Θ = 9 - 2

tan²Θ + cot²Θ = 7