secA=13/5 then what is the value of cosecA? (1)
Answers
Step-by-step explanation:
cosecA=
5
13
⇒sinA=
13
5
⇒cosA=
1−sin
2
A
=
1−
169
25
=
169
144
=
13
12
⇒cosA=
13
12
⇒secA=
12
13
⇒tanA=
cosA
sinA
=
13
12
13
5
=
12
5
Now, tan
2
A−sin
2
A=(
12
5
)
2
−(
13
5
)
2
=
144
25
−
169
25
=25[
169×144
169−144
]
=
169×144
25×25
& sin
2
Asec
2
A=(
13
5
)
4
×
(12)
2
(13)² =
(13) 2
.(12) 2
5×5×5 = 169×14425×25
Hence, tan 2
A−sin 2
A=sin 4
Asec 4 A
Hence, the answer is proved.
Answer:
Hey mate
Correct answer is 13/12.
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