sin A = 5÷13 , then verify that ( tan A )^2 - (sin A ) ^2 = ( tan A )^2 × (sin A ) ^2
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Answered by
1
Answer:
yes
Explanation:
Explanation:
The basic trig functions are defined in a right-angled triangle as:
sin
θ
=
opposite
hypotenuse
cos
θ
=
adjacent
hypotenuse
tan
θ
=
opposite
adjacent
So, as we are given
cos
A
=
5
13
, it means that
in this specific right-angled triangle,
the side adjacent to
A
=
5
and
the hypotenuse
=
13
Using Pythagoras' Theorem.
o
p
p
=
√
13
2
−
5
2
=
12
So now the side opposite
A
is
12
Now we can give the trig ratios as:
sin
A
=
opposite
hypotenuse
=
12
13
cos
A
=
adjacent
hypotenuse
=
5
13
tan
A
=
opposite
adjacent
=
12
5
From these,we can find that
angle
A
=
67.4
°
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