हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Find the value of sin-1[cos(sin-1(32))] - Mathematics

Advertisements
Advertisements

प्रश्न

Find the value of `sin^-1[cos(sin^-1 (sqrt(3)/2))]`

योग
Advertisements

उत्तर

`sin^-1[cos(sin^-1 (sqrt(3)/2))] = sin^-1 [cos  pi/3]`

= `sin^-1 [1/2]`

= `pi/6`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Inverse Trigonometric Functions - Exercise 4.5 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.5 | Q 3. (i) | पृष्ठ १६६

संबंधित प्रश्न

 

If `sin (sin^(−1)(1/5)+cos^(−1) x)=1`, then find the value of x.

 

`cos^(-1) (cos  (7pi)/6)` is equal to ______.


sin–1 (1 – x) – 2 sin–1 x = `pi/2`, then x is equal to ______.


Prove that `tan {pi/4 + 1/2 cos^(-1)  a/b} + tan {pi/4 - 1/2 cos^(-1)  a/b} = (2b)/a`


Find the value of the expression in terms of x, with the help of a reference triangle

`tan(sin^-1(x + 1/2))`


Find the value of `cot[sin^-1  3/5 + sin^-1  4/5]`


Choose the correct alternative:

If |x| ≤ 1, then `2tan^-1x - sin^-1  (2x)/(1 + x^2)` is equal to


Evaluate `cos[cos^-1 ((-sqrt(3))/2) + pi/6]`


Prove that `sin^-1  8/17 + sin^-1  3/5 = sin^-1  7/85`


Show that `tan(1/2 sin^-1  3/4) = (4 - sqrt(7))/3` and justify why the other value `(4 + sqrt(7))/3` is ignored?


If `sin^-1 ((2"a")/(1 + "a"^2)) + cos^-1 ((1 - "a"^2)/(1 + "a"^2)) = tan^-1 ((2x)/(1 - x^2))`. where a, x ∈ ] 0, 1, then the value of x is ______.


If `"tan"^-1 ("cot"  theta) = 2theta, "then"  theta` is equal to ____________.


`"tan"^-1 1/3 + "tan"^-1 1/5 + "tan"^-1 1/7 = "tan"^-1 1/8 =` ____________.


The value of cot-1 9 + cosec-1 `(sqrt41/4)` is given by ____________.


sin (tan−1 x), where |x| < 1, is equal to:


`"tan" (pi/4 + 1/2 "cos"^-1 "x") + "tan" (pi/4 - 1/2 "cos"^-1 "x") =` ____________.


`"tan"^-1 1/3 + "tan"^-1 1/5 + "tan"^-1 1/7 + "tan"^-1 1/8 =` ____________.


`"cos"^-1 1/2 + 2  "sin"^-1 1/2` is equal to ____________.


The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. “A” is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely C, D and E. “C” is at the height of 10 metres from the ground level. For viewer A, the angle of elevation of “D” is double the angle of elevation of “C” The angle of elevation of “E” is triple the angle of elevation of “C” for the same viewer. Look at the figure given and based on the above information answer the following:

Measure of ∠EAB = ________.


Find the value of `sin^-1 [sin((13π)/7)]`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×