then Sin + Cos
Sino + los o = √2
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Answered by
1
Answer:
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Explanation:
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Answered by
4
Explanation:
sinθ+cosθ=
2
…(1)
Taking square both sides,
sin
2
θ+cos
2
θ+2sinθcosθ=2
1+2sinθcosθ=2
2sinθcosθ=1
sinθcosθ=
2
1
……(2)
Now, divided by cosθ in equation 1st , we get
tanθ+1=
cosθ
2
….(3)
Again divided by sinθ in equation 1st, we get
1+cotθ=
sinθ
2
….(4)
Add equation 1st and 2nd , we get
tanθ+cotθ+2=
cosθ
2
+
sinθ
2
tanθ+cotθ=
2
.(
sinθcosθ
sinθ+cosθ
)−2 ……(5)
Now, from equation 1st ,2nd and 5th ,we get
tanθ+cotθ=
2
.
⎝
⎜
⎜
⎛
2
1
2
⎠
⎟
⎟
⎞
−2
tanθ+cotθ=2
Hence, this is the answer.
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