If sin x + cos x = a, then (i) sin^6 x + cos^6 x = _______

If sin x + cos x = a, then

(i) sin⁶ x + cos⁶ x = _______

(ii) | sin x – cos x | = _______.

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

(i) (1/4)[4 – 3(a² – 1)²]

(ii) √(2 − a²)

4 views Answered 2023-02-05 15:29

Related Questions

if four tangent A equal to 3 then 4 Sin A minus Cos A divided by 4 sin a + cos A is equal to

1 Answers 5 Views

Show that 2 sinβ^2 + 4 cos (α + β) sin α sin β + cos 2 (α + β) = cos 2α

1 Answers 4 Views

The value of cos 1° cos 2° cos 3° ... cos 179° is

1 Answers 7 Views

If k = sin(π/18)sin(5π/18)sin(7π/18), then the numerical value of k is _______.

1 Answers 4 Views

3 (sin x – cos x)^4 + 6 (sin x + cos x)^2 + 4 (sin^6 x + cos^6 x) = _______.

1 Answers 4 Views

Which of the following is correct ? (1) cos 1 > cos 2 (2) cos 1 < cos 2 (3) cos 1 = cos 2 (4) none of these

1 Answers 6 Views

The solution of equation 5 sin^2 x - 7 sin x cos x + 16 cos^2 x - 4 is

1 Answers 4 Views

If cos (α + β) = 0, then sin (α – β) can be reduced to (A) cos β (B) cos 2β (C) sin α (D) sin 2α

1 Answers 4 Views

If sinA + sin^2 A = 1, then the value of the expression (cos^2 A + cos^4 A) is (A) 1 (B) 1/2 (C) 2 (D) 3

1 Answers 4 Views

The value of the expression(sin^2 22°+ sin^2 68°)/(cos^2 22°+ cos^2 68°) + sin^2 63 cos 63° sin27° is(A) 3 (B) 2 (C) 1 (D) 0

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)