find the value of tan 45/2 degree
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Answered by
23
Hi friend..
Here is the solution of the question asked by you
✴️ SOLUTION ✴️
First, rewrite the angle as the product of 1/2and an angle where the values of the six trigonometric functions are known. In this case, 45/2 can be rewritten as (1/2)⋅45(1/2)⋅45.
tan((1/2)⋅45)tan((1/2)⋅45)
Use the half-angle identity for tangent to simplify the expression. The formula states that tan(θ2)=sin(θ)1+cos(θ)tan(θ2)=sin(θ)1+cos(θ).
sin(45)1+cos(45)sin(45)1+cos(45)
Simplify the result.
√2−12-1
The result can be shown in both exact and decimal forms.
Exact Form:
√2−12-1
Decimal Form:
0.41421356
I hope it will help you
☺️
Here is the solution of the question asked by you
✴️ SOLUTION ✴️
First, rewrite the angle as the product of 1/2and an angle where the values of the six trigonometric functions are known. In this case, 45/2 can be rewritten as (1/2)⋅45(1/2)⋅45.
tan((1/2)⋅45)tan((1/2)⋅45)
Use the half-angle identity for tangent to simplify the expression. The formula states that tan(θ2)=sin(θ)1+cos(θ)tan(θ2)=sin(θ)1+cos(θ).
sin(45)1+cos(45)sin(45)1+cos(45)
Simplify the result.
√2−12-1
The result can be shown in both exact and decimal forms.
Exact Form:
√2−12-1
Decimal Form:
0.41421356
I hope it will help you
☺️
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Answered by
6
=tan2x=2tanx/1-tansq.x
so tan x=2tanx/2 (1/1-tansq.x/2)
=by putting x=45
tan45 =2tan45/2 (1/1-(tan45/2)^2)
1=2tan45/2 (1/1-(tan45/2)^2)
1-(tan45/2)^2=2tan45/2
(1-tan45/2)(1+tan45/2)=2tan45/2
so tan x=2tanx/2 (1/1-tansq.x/2)
=by putting x=45
tan45 =2tan45/2 (1/1-(tan45/2)^2)
1=2tan45/2 (1/1-(tan45/2)^2)
1-(tan45/2)^2=2tan45/2
(1-tan45/2)(1+tan45/2)=2tan45/2
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