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Trigonometry Practice Test 1
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© examsnet.com
Question : 3
Total: 40
If sin θ + cosec θ = 2, then what is the value of
sin
4
θ
+
cos
4
θ
?
2
2
2
2
3
1
None of these
Validate
Solution:
👈: Video Solution
sin
θ
+
cosec
θ
=
2
⇒
sin
θ
+
1
sin
θ
=
2
⇒
sin
2
θ
−
2
sin
θ
+
1
=
0
⇒
(
sin
θ
−
1
)
2
=
0
⇒
sin
θ
=
1
⇒
sin
θ
=
sin
90
°
⇒
θ
=
90
°
∴
sin
4
θ
+
cos
4
θ
=
sin
4
90
°
+
cos
4
90
°
=
1
+
0
=
1
© examsnet.com
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