Question

Prove that

tan 135° - Cot 120°
tan 135°+ Cor 120°​

Answer 1

Answer:

cos135

∘

−cos120

∘

=

cos(180−45)+cos(90+30)

cos(180−45)−cos(90+30)

=

−cos45

∘

−sin30

∘

−cos45

∘

+sin30

∘

=

−

2

1

−

2

1

−

2

1

+

2

1

=

−2−

2

−2+

2

×

−2+

2

−2+

2

=

4−2

(−2+

2

)

2

=3−2

2