1)tan9°tan27°tan63°tan81°=?
2)sec50°sin40° +cos40°cosec50°=?
3)cosec21°×cosec69°=1 ( True/ False)
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Answer:
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Step-by-step explanation:
Given
tan81+tan9−(tan63+tan27)
=cot9+tan9−(cot27+tan27)
=
sin9.cos9
(cos9)
2
+(sin9)
2
−
sin27.cos27
(cos27)
2
+(sin27)
2
=
sin9.cos9
1
−
sin27.cos27
1
=
sin18
2
−
sin54
2
=2.
sin54.sin18
sin54−sin18
=
cos36.sin18
4cos36sin18
=4
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