# Fill in the blank

Given that, sin x + cos x = a

Squaring both sides, we get

(sin x + cos x)2 = a2

sin2x + cos2x + 2sin x cos x = a2

1 + 2sin x cos x = a2

(i) sin6 x + cos6x = (sin2x)3 + (cos2x)3

= (sin2x+ cos2x)3 -3 sin2x cos2x(sin2x+ cos2x)

(ii) |sin x – cos x| =

|sin x – cos x|2 = sin2x + cos2x - 2sin x cos x

=1-(a2 -1)

= 1-a2+1 = 2- a2

|sin x – cos x| =

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

True and False<brMathematics - Exemplar

Find the values oRD Sharma - Mathematics

Prove that :
<
RD Sharma - Mathematics

The value of cos<Mathematics - Exemplar

The value of sin Mathematics - Exemplar

cos 2θ cos 2<spanMathematics - Exemplar

The value of <spaMathematics - Exemplar

If <span lang="ENMathematics - Exemplar

If <span lang="ENMathematics - Exemplar

Fill in the blankMathematics - Exemplar