evalu evaluate 3 cos 55 degree upon 7 sin 35 degree + under root 3 bracket 10 10 theta 10:30 1040 to 1050 1060 1080 close
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1
Answer:
We know,
cos(90−θ)=sinθ
tan(90−θ)=cotθ
cotθ=
tanθ
1
secθ=
cosθ
1
cos55
∘
=cos(90
∘
−35
∘
)=sin35
∘
tan5
∘
=tan(90
∘
−85
∘
)=cot85
∘
tan25
∘
=tan(90
∘
−65
∘
)=cot65
∘
csc20
∘
=sec(90
∘
−70
∘
)=sec70
∘
To evaluate,
7sin35
∘
3cos55
∘
−
7(tan5
∘
tan25
∘
tan45
∘
tan65
∘
tan85
∘
)
4(cos70
∘
csc20
∘
)
=
7sin35
∘
3sin35
∘
−
7(tan5
∘
tan25
∘
tan45
∘
cot25
∘
cot5
∘
)
4(cos70
∘
sec70
∘
)
=
7
3
−
7(tan45
∘
tan25
∘
tan5
∘
cos70
∘
)
4(cos70
∘
tan5
∘
tan25
∘
)
=
7
3
−
7
4
=
7
−1
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Answer:
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