Evaluate= Sin² 36°+sin² 27°/cos² 17°+cos² 73°
Answers
Answered by
1
Answer:
Given,
cos
2
17+cos
2
73
sin
2
63+sin
2
27
=
cos
2
(17)+(cos(90−17))
2
sin
2
63+(sin(90−63))
2
As we know
90−63=27
90−17=73
from (sin(90−63)=cos63, cos(90−17)=sin17,
Now,
cos
2
17+cos
2
73
sin
2
63+sin
2
27
=
cos
2
(17)+(cos(90−17))
2
sin
2
63+(sin(90−63))
2
=
cos
2
17+sin
2
17
sin
2
63+cos
2
63
=
1
1
=1 ∵sin
2
A+cos
2
- A=1
Answered by
1
Answer:
answer (1)
Step-by-step explanation:
cos²27°+sin²27°/sin²73°+cos²73
(using sin²A+cos²A)
=> 1/1
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