NCERT 12th Maths

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eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

20. $sin( \frac{ \pi}{3} - sin^{-1} (- \frac{1}{2}) )$ is equal to

(A) (B) (C)

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

19. $cos^{-1}(cos \frac{7\pi}{6} )$ is equal to

(A) (B) (C)

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

18. Find the values of the expressions $tan (sin^{-1}\frac{3}{5} + cot^{-1}\frac{3}{2})$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

17. Find the values of the expressions $tan^{-1} (tan\frac{3\pi}{4})$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

16. Find the values of the expressions $sin^{-1} (sin\frac{2\pi}{3})$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

15. If $tan^{-1}\frac{x-1}{x-2} + tan^{-1}\frac{x+1}{x+2} = \frac{\pi}{4}$ , then find the value of x

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

14. If $sin(sin^{-1}\frac{1}{5} + cos^{-1}x ) = 1$ , then find the value of x

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

13. Find the values of $tan\frac{1}{2}[sin^{-1} \frac{2x}{1+x^2} + cos^{-1}\frac{1-y^2}{1+y^2} ] , \; |x| < 1 , \; y > 0, \; \text{and} \; xy < 1$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

12. Find the values of $cot (tan^{-1}a + cot^{-1}a)$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

11. Find the values of $tan^{-1}[ 2 cos(2sin^{-1} \frac{1}{2}) ]$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

10. Write the function in the simplest form: $tan^{-1}(\frac{ 3a^2x -x^3}{ a^3 - 3ax^2}) ,\; a > 0 , \; - \frac{a}{\sqrt 3} \leq x \leq \frac{a}{\sqrt 3}$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

9. Write the function in the simplest form: $tan^{-1}\frac{ x}{ \sqrt{a^2 - x^2}}} ,\; |x| < a$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

8. Write the function in the simplest form: $tan^{-1}(\frac{ cosx - sinx}{cosx + sinx}}) ,\; x < \pi$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

7. Write the function in the simplest form: $tan^{-1}(\sqrt{\frac{1- cosx}{1+cosx}}) ,\; x < \pi$

eduhilfe

Asked: October 9, 2020In: NCERT 12th Maths

6. Write the function in the simplest form: $tan^{-1}\frac{1}{\sqrt{x^2 -1}} ,\; |x| >1$

eduhilfe

Asked: October 8, 2020In: NCERT 12th Maths

5. Write the function in the simplest form: $tan^{-1}\frac{\sqrt{1+x^2}-1}{x} ,\; x \neq 0$

eduhilfe

Asked: October 8, 2020In: NCERT 12th Maths

4. Prove that $2tan^{-1}(\frac{1}{2}) + tan^{-1}(\frac{1}{7}) = tan^{-1}(\frac{31}{17})$

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

3. Prove that $tan^{-1}(\frac{2}{11}) + tan^{-1}(\frac{7}{24}) = tan^{-1}(\frac{1}{2})$

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

2. Prove that $3cos^{-1}x = cos^{-1}(4x^3 - 3x), x \in [\frac{1}{2} \; 1]$

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

1. Prove that $3sin^{-1}x = sin^{-1}(3x-4x^3), x \in [-\frac{1}{2} \; \frac{1}{2}]$

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

14. $tan^{-1} (\sqrt3) - sec^{-1}(-2)$ is equal to

(A) (B) (C)

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

13. If $sin^{-1} x = y$ , then

(A) (B) (C)

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

12. Find the values of $cos^{-1}(\frac{1}{2}) + 2sin^{-1}(\frac{1}{2} )$

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

11. Find the values of $tan^{-1}(1) + cos^{-1}(-\frac{1}{2}) + sin^{-1}(-\frac{1}{2} )$

eduhilfe

Asked: October 7, 2020In: NCERT 12th Maths

10. Find the principal values of $cosec^{-1} (- \sqrt2)$

1 2 … 5

NCERT 12th Maths

20. $sin( \frac{ \pi}{3} - sin^{-1} (- \frac{1}{2}) )$ is equal to

19. $cos^{-1}(cos \frac{7\pi}{6} )$ is equal to

18. Find the values of the expressions $tan (sin^{-1}\frac{3}{5} + cot^{-1}\frac{3}{2})$

17. Find the values of the expressions $tan^{-1} (tan\frac{3\pi}{4})$

16. Find the values of the expressions $sin^{-1} (sin\frac{2\pi}{3})$

15. If $tan^{-1}\frac{x-1}{x-2} + tan^{-1}\frac{x+1}{x+2} = \frac{\pi}{4}$ , then find the value of x

14. If $sin(sin^{-1}\frac{1}{5} + cos^{-1}x ) = 1$ , then find the value of x

13. Find the values of $tan\frac{1}{2}[sin^{-1} \frac{2x}{1+x^2} + cos^{-1}\frac{1-y^2}{1+y^2} ] , \; |x| < 1 , \; y > 0, \; \text{and} \; xy < 1$

12. Find the values of $cot (tan^{-1}a + cot^{-1}a)$

11. Find the values of $tan^{-1}[ 2 cos(2sin^{-1} \frac{1}{2}) ]$

10. Write the function in the simplest form: $tan^{-1}(\frac{ 3a^2x -x^3}{ a^3 - 3ax^2}) ,\; a > 0 , \; - \frac{a}{\sqrt 3} \leq x \leq \frac{a}{\sqrt 3}$

9. Write the function in the simplest form: $tan^{-1}\frac{ x}{ \sqrt{a^2 - x^2}}} ,\; |x| < a$

8. Write the function in the simplest form: $tan^{-1}(\frac{ cosx - sinx}{cosx + sinx}}) ,\; x < \pi$

7. Write the function in the simplest form: $tan^{-1}(\sqrt{\frac{1- cosx}{1+cosx}}) ,\; x < \pi$

6. Write the function in the simplest form: $tan^{-1}\frac{1}{\sqrt{x^2 -1}} ,\; |x| >1$

5. Write the function in the simplest form: $tan^{-1}\frac{\sqrt{1+x^2}-1}{x} ,\; x \neq 0$

4. Prove that $2tan^{-1}(\frac{1}{2}) + tan^{-1}(\frac{1}{7}) = tan^{-1}(\frac{31}{17})$

3. Prove that $tan^{-1}(\frac{2}{11}) + tan^{-1}(\frac{7}{24}) = tan^{-1}(\frac{1}{2})$

2. Prove that $3cos^{-1}x = cos^{-1}(4x^3 - 3x), x \in [\frac{1}{2} \; 1]$

1. Prove that $3sin^{-1}x = sin^{-1}(3x-4x^3), x \in [-\frac{1}{2} \; \frac{1}{2}]$

14. $tan^{-1} (\sqrt3) - sec^{-1}(-2)$ is equal to

13. If $sin^{-1} x = y$ , then

12. Find the values of $cos^{-1}(\frac{1}{2}) + 2sin^{-1}(\frac{1}{2} )$

11. Find the values of $tan^{-1}(1) + cos^{-1}(-\frac{1}{2}) + sin^{-1}(-\frac{1}{2} )$

10. Find the principal values of $cosec^{-1} (- \sqrt2)$

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