Question no 42
Trignometry
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Cosecθ (sinθ - cosθ) = √2 [Given]
But, cosec 45 = √2
Cosecθ (sinθ - cosθ) = cosec 45
θ = 45
sinθ + cosθ = 1/√2 + 1/√2
= 2/√2
= √2
cosθ = cos 45 = 1/√2
So, sinθ + cosθ = 2cosθ
Therefore, option 2 is correct.
Hope this helps you. :)
Answered by
0
Answer:
Cosecθ (sinθ - cosθ) = √2 [Given]
But, cosec 45 = √2
Cosecθ (sinθ - cosθ) = cosec 45
θ = 45
sinθ + cosθ = 1/√2 + 1/√2
= 2/√2
= √2
cosθ = cos 45 = 1/√2
So, sinθ + cosθ = 2cosθ
Therefore, option 2 is correct.
Step-by-step explanation:
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