Math, asked by AjayShankar7, 1 year ago

38. Sin@=1/√2 then(tan @ + cot @)=?

Answers

Answered by MANIDEEP45

sinθ=1/√2
⇒ θ = 45°
tan45° = 1
cot45° = 1
(tanθ+cotθ)= 2

dikshaverma4you: Hey plzz explain it.... Didn't get it

dikshaverma4you: Sin theta is 1/√2 not 1.... So 45 might not come

AjayShankar7: 45:45:90 = 1:1:√2

AjayShankar7: Therefore sin 45 = 1/√2

AjayShankar7: cos 45 = 1/√2

AjayShankar7: Hence Tan 45 = sin 45/ cos45 = 1

AjayShankar7: Cot 45 = cos 45/ sin 45 = 1

AjayShankar7: So, tan 45 + cot 45 = 1+1 = 2

dikshaverma4you: Ok

dikshaverma4you: Thnx

Answered by MADHANSCTS

Given,
sinθ = $\frac{1}{ \sqrt{2} }$
∴ θ = 45°

tanθ = tan45°
tanθ = 1

cotθ = cot45°
cotθ = 1

tanθ + cotθ = 1+1
tanθ + cotθ = 2

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