Question

Show that :
2 (cos460∘+sin430∘) - (tan260∘+cot245∘) + 3 sec230∘=4/5​

Answer 1

Answer:

2(cos

4

60

∘

+sin

4

30

∘

)−(tan

2

60

∘

+cot

2

45

∘

)+3sec

2

30

∘

=[(

2

1

)

4

+(

2

1

)

4

]−[(

3

)

2

+(1)

2

]+3(

3

2

)

2

=(

16

1

+

16

1

)−(3+1)+3×

3

4

=2×

8

1

−4+4=

4

1