Question

Evaluate without using tables:

(

tan 200

cot 700

)

2

+ (

700

200

)

2

− 2150

450

750

.
​

Answer 1

Answer:

Formula:

tan(90−x)=cotx

sec(90−x)=cscx

csc(90−x)=secx

(

csc70

∘

tan20

∘

)

2

+(

sec70

∘

cot20

∘

)

2

+2tan15

∘

tan45

∘

tan75

∘

=(

sec20

∘

tan20

∘

)

2

+(

csc20

∘

cot20

∘

)

2

+2tan15

∘

tan45

∘

cot15

∘

=sin

2

20

∘

+cos

2

20

∘

+2tan15

∘

cot15

∘

tan45

∘

=1+2(1)(1)

=1+2

=3(Ans)

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