Question

SOLVE for 50 POINTS MATHS class 11
prove tan 22×1/2=cot67×1/2=?


꧁☆š⊕urïšh☆꧂​

Answer 1

Answer:

as

Step-by-step explanation:

Answer 2

Answer:

HII     ꧁☆š⊕urïšh☆꧂​

22½° lies in the first quadrant.

Therefore, tan 22½° is positive.

For all positive values of the angle A we know that, tan  

A

2

 

=  

√

1−cosA

1+cosA

 

tan 22½° =  

√

1−cos45°

1+cos45°

 

tan 22½° =  

√

1−

1

√

2

 

1+

1

√

2

 

 

, [Since we know that cos 45° =  

1

√

2

 

]

tan 22½° =  

√

√

2

−1

√

2

+1

 

tan 22½° =  

√

√

2

−1

√

2

+1

 

⋅

√

2

−1

√

2

−1

 

tan 22½° =  

√

(

√

2

−1)2

2−1

 

tan 22½° = √2 - 1

Therefore, tan 22½° = √2 - 1

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