Question

Evaluate :
tan 65°/cot 25°

Answer 1

Answer:

1

Step-by-step explanation:

tan∅= cot(90-∅)

tan 65°= cot (90- 65)

= cot 25°

so , tan65°/cot25° = cot25°/cot 25° =1

Answer 2

Answer:

1

Step-by-step explanation:

To find-----> tan65° / Cot25°

Solution------> We know that,

tan ( 90° - θ ) = Cotθ

tan 65° = tan ( 90° - 25° )

= Cot 25°

tan65° / Cot25°

Putting tan65° = Cot25° , in it we get,

= Cot25° / Cot25°

= 1

Additional identity----->

1) Sin( 90° - θ ) = Cosθ

2) Cos ( 90° - θ ) = Sinθ

3) tan ( 90° - θ ) = Cotθ

4) Cot ( 90° - θ ) = tanθ

5) Sec ( 90° - θ ) = Cosecθ

6) Cosec ( 90° - θ ) = Secθ

7) 1 + tan²θ = Sec²θ

8) 1 + Cot²θ = Cosec²θ

9) Sin²θ + Cos²θ = 1