ट्रिगोनोमेट्री प्रश्न: cosecθ और cotθ समीकरण

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Questions and Answers

दिए गए समीकरण cos  – sin = 3 cos(90°–) के लिए, 0° <  < 90° , tan – cot का मान क्या होगा?

  • 3+ 2 3 (1+ 3)
  • - 3+ 2 3 (1− 3)
  • 3− 2 3 (1+ 3)
  • - 3+ 2 3 (1+ 3) (correct)

यदि 4 sin²(2x–10)° = 3, 0  (2x–10)  90, तो sin 4 ( x − 5) + cos 4 ( x − 5) का मान ज्ञात कीजिए। 1 − 2sin 2 (3x − 15) cos 2 (3 x − 15)

  • 8 5 (correct)
  • -1 12
  • -8
  • 1 5

यदि cos𝜽 = 𝟏𝟑 , तो 𝒔𝒊𝒏𝜽(𝟏−𝒕𝒂𝒏𝜽) का मान क्या होगा? 𝒕𝒂𝒏𝜽(𝟏+𝒄𝒐𝒔𝒆𝒄𝜽)

  • 𝟏𝟎𝟖
  • 𝟐𝟑𝟒
  • 𝟏𝟓𝟔 (correct)
  • 𝟕𝟖

यदि 6 sec  = 10, तो (5 cosec  – 3 cot )/(4 cos + 3 sin) का मान ज्ञात कीजिए।

<p>5 (A)</p> Signup and view all the answers

यदि sin  = 1/2 और 0° <  < 90°, तो cos  का मान क्या होगा?

<p>√3/2 (C)</p> Signup and view all the answers

यदि tan  = √3, तो  का मान क्या होगा?

<p>60° (C)</p> Signup and view all the answers

यदि cos  = 1/√2, तो  का मान क्या होगा?

<p>45° (B)</p> Signup and view all the answers

यदि sin  = 1/√2, तो  का मान क्या होगा?

<p>45° (A)</p> Signup and view all the answers

यदि tan  = 1, तो  का मान क्या होगा?

<p>45° (B)</p> Signup and view all the answers

यदि cos  = √3/2, तो  का मान क्या होगा?

<p>30° (D)</p> Signup and view all the answers

Flashcards

tan – cot given cos  – sin = 3 cos(90°–)

Given cos  – sin = 3 cos(90°–), then tan – cot = -3+2√3 / (1+√3)

sin⁴(x−5)° + cos⁴(x−5)° if 4 sin²(2x–10)° = 3

Given 4 sin²(2x–10)° = 3, the value of expression sin⁴(x−5)° + cos⁴(x−5)° is 8/5.

𝒔𝒊𝒏𝜽(𝟏−𝒕𝒂𝒏𝜽) / 𝒕𝒂𝒏𝜽(𝟏+𝒄𝒐𝒔𝒆𝒄𝜽) if cos𝜽 = 𝟏/𝟑

Given cos𝜽 = 𝟏/𝟑 , then 𝒔𝒊𝒏𝜽(𝟏−𝒕𝒂𝒏𝜽) / 𝒕𝒂𝒏𝜽(𝟏+𝒄𝒐𝒔𝒆𝒄𝜽) = 156

(5 cosec  – 3 cot )/(4 cos + 3 sin) if 6 sec  = 10

Given 6 sec  = 10, (5 cosec  – 3 cot )/(4 cos + 3 sin) = 5

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cos  if sin  = 1/2

If sin  = 1/2, then cos  = √3/2

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 if tan  = √3

If tan  = √3, then  = 60°

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 if cos  = 1/√2

If cos  = 1/√2, then  = 45°

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 if sin  = 1/√2

If sin  = 1/√2, then  = 45°

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 if tan  = 1

If tan  = 1, then  = 45°

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 if cos  = √3/2

If cos  = √3/2, then  = 30°

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Study Notes

ट्रिग्नोमेट्रिक समीकरण

  • यदि cosecθ + cotθ = 7, तो cosecθ - cotθ = ?
    • cosecθ + cotθ = 7, cosecθ - cotθ = ?
  • यदि secθ + tanθ = 7, θ प्रथम चतुर्थांश में, तो secθ - tan²θ = ?
    • secθ + tanθ = 7, secθ - tan²θ = ?

त्रिकोणमितीय पहचान

  • cosecA = 10, तो 20 sin A + 9/11 sec A = ?
    • cosecA = 10, A एक तीक्ष कोण है।
  • cosθ = 3√6, θ एक तीक्ष कोण है, तो 27 sin²θ - 2 = ?
    • cosθ = 3√6, θ एक तीक्ष कोण है।

त्रिकोणमितीय समीकरण

  • यदि sinθ + cosθ = √2, तो cosecθ + cotθ = ?
    • sinθ + cosθ = √2, cosecθ + cotθ = ?
  • यदि cotθ = 2 + √5, तो cosecθ secθ = ?
    • cotθ = 2 + √5, cosecθ secθ = ?

त्रिकोणमितीय पहचान

  • यदि cos(90° - θ) = b, तो cosθ - sinθ = ?
    • cos(90° - θ) = b, cosθ - sinθ = ?
  • यदि 4 sin²(2x - 10)° = 3, 0 ≤ 2x - 10 ≤ 90, तो sin⁴(x - 5)° + cos⁴(x - 5)° = ?
    • 4 sin²(2x - 10)° = 3, 0 ≤ 2x - 10 ≤ 90, sin⁴(x - 5)° + cos⁴(x - 5)° = ?

त्रिकोणमितीय समीकरण

  • यदि cosθ = 1/3, तो tanθ(1 + secθ) = ?
    • cosθ = 1/3, tanθ(1 + secθ) = ?

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