UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

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UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions (प्रतिलोम त्रिकोणमितीय फलन) are part of UP Board Solutions for Class 12 Maths. Here we have given UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions (प्रतिलोम त्रिकोणमितीय फलन)

UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

प्रश्नावली 2.1

प्रश्न 1.
{ sin }^{ -1 }\left( -\frac { 1 }{ 2 } \right)

प्रश्न 2.
{ cos }^{ -1 }\left( \frac { \sqrt { 3 } }{ 2 } \right)

प्रश्न 3.
cosec-1 (2) का मुख्य मान ज्ञात कीजिए।
हल-
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 3

प्रश्न 4.
tan-1 (-√3) का मुख्य मान ज्ञात कीजिए।
हल-
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 4

प्रश्न 5.
{ cos }^{ -1 }\left( -\frac { 1 }{ 2 } \right)

प्रश्न 6.
tan-1(-1) का मुख्य मान ज्ञात कीजिए।
हल-
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 6

प्रश्न 7.
{ sec }^{ -1 }\left( \frac { 2 }{ \sqrt { 3 } } \right)

प्रश्न 8.
cot-1(√3) का मुख्य मान ज्ञात कीजिए।
हल-
cot-1 का मुख्य मान शाखा परिसर (0, π) है।
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 8

प्रश्न 9.
cos^{ -1 }\left( \frac { -1 }{ \sqrt { 2 } } \right)

प्रश्न 10.
cosec-1 (-√2) का मुख्य मान ज्ञात कीजिए।
हल-
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 10

प्रश्न 11.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 11

प्रश्न 12.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 12

प्रश्न 13.
यदि sin-1 x = y, तो
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 13

प्रश्न 14.
tan-1√3 – sec-1(-2) का मान बराबर है
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 14

प्रश्नावली 2.2

निम्नलिखित को सिद्ध कीजिए–

प्रश्न 1.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 1

प्रश्न 2.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 2

प्रश्न 3.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 3

प्रश्न 4.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 4

निम्नलिखित फलनों को सरलतम रूप में लिखिए

प्रश्न 5.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 5

प्रश्न 6.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 6

प्रश्न 7.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 7

प्रश्न 8.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 8

प्रश्न 9.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 9

प्रश्न 10.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 10

प्रश्न 11.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 11

प्रश्न 12.
cot (tan-1 a + cot-1 a)
हल-
माना y = cot (tan-1 a + cot-1 a)
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 12

प्रश्न 13.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 13

प्रश्न 14.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 14

प्रश्न 15.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 15

प्रश्न 16.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 16

प्रश्न 17.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 17

प्रश्न 18.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 18

प्रश्न 19.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 19

प्रश्न 20.
UP Board Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions 20

प्रश्न 21.
tan-1√3 – cot-1(-√3) का मान है
(A) π
(B) -\frac { \pi }{ 2 }

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