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Question

Find the value of sin2θ+cos2θ at θ=30 & 60?


A
14,34
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B
34,14
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C
1,1
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D
0,34
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Solution

The correct option is C 1,1
When θ=30,

sin θ=12 and cos θ=32,

sin2θ+cos2θ

=(12)2+(32)2

=14+34=44=1

When θ=60,

sin θ=32 and cos θ=12,

sin2θ+cos2θ

=(32)2+(12)2

=34+14=44=1

Mathematics

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