Home
Class 11
MATHS
If x lt 90^(@) and sin(x + 28^(@)) = cos...

If `x lt 90^(@)` and `sin(x + 28^(@)) = cos(3x - 78^(@))`, then find x

Text Solution

Verified by Experts

The correct Answer is:
`(0, 90^(@))`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos

  • TRANSFORMATION OF AXES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -2 (A)|24 Videos

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(F)|20 Videos

Similar Questions

Explore conceptually related problems

If x acute angle and sin(x + 10^(@)) = cos (3x - 68^(@)) then find x in degree.

If x is an acute angle and sin (x + 28^(@))=cos (3x - 78^(@)) , then x =

If x is acute and sin(x+10^(@))=cos(3x-68^(@)) then find x .

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

If Sin^(-1)(cos^(-1)x) lt 1 and cos^(-1)(cos^(-1)x) lt 1" then "x in

I: If x= sin 1 , y= sin1^(@) then x lt y II : If x = cos 1 , y = cos 1^(@) " then " x lt y

Check and discuss the above relations [sin (90^@ - x) = (AB) /(AC) = cos x cos (90^@ - x) = (BC)/(AC) = sin x tan (90^@ - x) = (AB)/(BC) = cot x cot(90^@ - x) = (BC)/(AB) = tan x , cosec(90^@ - x) = (AC)/(AB) = sec x , sec(90^@ - x) = (AC)/(BC) = cosec x] , in the case of angle between 0^@ and 90^@ , whether they hold for these angles or not ?So, sin(90^@ - A) = cosA