`4cos^3 4 0^(@)-3sin5 0^(@)=`

cos4 0^(@)+cos2 0^(@))=3(cos1 0^(@)+sin2 0^(@)) 40 CUSOUcos 40^@ + cos 20O 4(cos310^@ + sin320^@) = 3(cos 10^@ + sin20^@)N3.1 = 4

The value of 3sin30^(0)-4sin^(3)30^(@)+4cos^(3)30^(0)-3cos30^(@)

Prove the following identity: 4(cos^(3)10^(0)+sin^(3)20^(@))=3(cos10^(0)+sin20^(@))

If 4 cos^(2) A - 3 = 0 and 0^(@) le A le 90^(@), then prove that : sin 3 A = 3 sin A - 4 sin^(3) A

Evaluate : 4(sin^4 30^0+cos^4 60^0)-2/3(sin^2 60^0-cos^2 45^0)+1/2tan^2 60^0

Prove that 2 (sin ^ (6) A + cos ^ (6) A) -3 (sin ^ (4) A + cos ^ (4) A) + 1 = 0

(i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx

sin4A = 4sin A cos ^ (3) A-4cos A sin ^ (3) A

sin4A=4cos^(3)A sin A-4sin^(3)A cos A