हिंदी

If sin x = cos y; write the relation between x and y, if both the angles x and y are acute - Mathematics

Advertisements
Advertisements

प्रश्न

If sin x = cos y; write the relation between x and y, if both the angles x and y are acute.

योग

उत्तर

sin x = cos y = sin (90° – y )
if x and y are acute angles,
x = 90° – y
⇒ x + y = 90
Hence x and y are complement angles 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (A) [पृष्ठ २९१]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (A) | Q 7.4 | पृष्ठ २९१

संबंधित प्रश्न

Show that:

(i) `2(cos^2 45º + tan^2 60º) – 6(sin^2 45º – tan^2 30º) = 6`

(ii) `2(cos^4 60º + sin^4 30º) – (tan^2 60º + cot^2 45º) + 3 sec^2 30º = 1/4`


Evaluate the following in the simplest form: sin 60º cos 45º + cos 60º sin 45º


Evaluate the following:

`(5cos^2 60° +  4sec^2 30° - tan^2 45°)/(sin^2 30° +  cos^2 30°)`


`(2 tan 30°)/(1-tan^2 30°)` = ______.


Evaluate cos 48° − sin 42°


Evaluate the following :

`tan 10^@/cot 80^@`


Evaluate the following :

`tan 35^@/cot 55^@  + cot 78^@/tan 12^@  -1`


Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cosec 54° + sin 72°


Prove that `sin 70^@/cos 20^@  + (cosec 20^@)/sec 70^@  -  2 cos 20^@ cosec 20^@ = 0`


Prove the following :

`(cos(90^@ - theta) sec(90^@ - theta)tan theta)/(cosec(90^@ - theta) sin(90^@ - theta) cot (90^@ -  theta)) + tan (90^@ - theta)/cot theta = 2`


Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.

cot65° + tan49°


find the value of: sin 30° cos 30°


Find the value of:

tan2 30° + tan2 45° + tan2 60°


Prove that:
sin 60° = 2 sin 30° cos 30°


If tan (A + B) = 1 and tan(A-B)`=1/sqrt3` , 0° < A + B < 90°, A > B, then find the values of A and B.


find the value of: cos2 60° + sec2 30° + tan2 45°


Prove that:

4 (sin4 30° + cos4 60°) -3 (cos2 45° - sin2 90°) = 2


Evaluate : 

`(3 sin 3"B" + 2 cos(2"B" + 5°))/(2 cos 3"B" – sin (2"B" – 10°)` ; when "B" = 20°.


Without using tables, find the value of the following: `(sin30°)/(sin45°) + (tan45°)/(sec60°) - (sin60°)/(cot45°) - (cos30°)/(sin90°)`


Find the value of x in the following: `2sin  x/(2)` = 1


If A = 30° and B = 60°, verify that: sin (A + B) = sin A cos B + cos A sin B


If sin(A - B) = sinA cosB - cosA sinB and cos(A - B) = cosA cosB + sinA sinB, find the values of sin15° and cos15°.


Find the value of 8 sin 2x, cos 4x, sin 6x, when x = 15°


If 2 sin 2θ = `sqrt(3)` then the value of θ is 


The value of `(1 - tan^2 45^circ)/(1 + tan^2 45^circ)` is


Evaluate: sin2 60° + 2tan 45° – cos2 30°.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×