.If sinx = 5/13 , where x<90° , find the value of tanx + 1/cosx. *
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Answer:
sin
(
2
x
)
=
2
sin
(
x
)
cos
(
x
)
cos
(
2
x
)
=
cos
2
(
x
)
−
sin
2
(
x
)
=
2
cos
2
(
x
)
−
1
=
1
−
2
sin
2
(
x
)
tan
(
2
x
)
=
2
tan
(
x
)
1
−
tan
2
(
x
)
In problems that require solving for the value of a trigonometric ratio of twice an angle given the value of the trigonometric value of the angle and the quadrant of the angle, we need to compute the value of a trigonometric ratio of twice the angle, other than the trigonometric ratio already being asked, to determine the quadrant of twice the
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