What is sin 75 and sin 15 equal
What is sin75 times sin15? Please take care of it
Is it missing one degree? If not, I will answer
sin75°*sin15°=sin(45°+30°)*sin(45°-30°)=(sin45°*cos30°+cos45°*sin30°)(sin45°*cos30°-cos45°*sin30°)=(sin45°*cos30°)^2-(cos45°*sin30°)^2=1/4
sin75°cos30°-sin15°sin150°=______ .
sin75°cos30°-sin15°sin150°=sin75°cos30°-cos75°sin30°=sin(75°-30°)=sin45°=
Two
Two
answer:
Two
2.
How did sin15 °× cos15 ° = 1 / 2 * sin30 ° evolve
Double angle formula
sin2x=2sinxcosx
So sinxcosx = (1 / 2) sin2x
Here x = 15 degrees
So sin15 °× cos15 ° = (1 / 2) sin30 °
Evaluate sin15 ° * sin30 ° * sin45 ° * sin60 ° * sin75 °
=sin15*sin30*sin60*cos15
=1/2sin30*sin30*sin60
=1 / 4 * 1 / 2 * root 3 / 2
=Radical 3 / 16
Sin45 ° times sin30 ° minus sin45 ° times sin60 ° equals?
Sin30 ° = cos60 °, sin45 ° = cos45 ° sin45 ° * sin30 ° - sin45 ° * sin60 ° = cos45 ° * cos60 ° - sin45 ° * sin60 ° = cos (45 ° + 60 °) = cos105 ° = - cos75 ° (= - sin15 °) (using the formula cos (a + B) = cosa * CoSb Sina * SINB)
(2cos ^ 75 degrees - 1) / (sin75 degrees, cos75 degrees)
The title is (2 (COS ^ 75) ^ 2-1) / (sin75 cos75) = (cos150) / [(sin150) / 2] = 2 / tan150 = - 2 / tan30 = - 2 / (sqrt (3) / 3) = - 2 * sqrt (3) used: 2sinxcosx = = sin (2x) cos (2x) = 2 (cosx) ^ 2-1
(cos75°+sin75°)(cos75°-sin75°)
(cos75°+sin75°)(cos75°-sin75°)
=cos²75º-sin²75º
=cos150º
=cos(180º-30º)
=-cos30º
=-√3/2
Cos squared 35 degrees + cos squared 55 degrees + cos15 degrees cos75 degrees=
Cos squared 35 degrees + cos squared 55 degrees + cos15 degrees cos75 degrees
=cos^2 35°+sin^2 35°+cos15°sin15°
=1+sin30°*1/2
=1+1/4
=5/4
Cos75 squared + cos15 squared + cos75 multiplied by sin15
Original cos? 75 + sin? 75 + cos? 75
=1+(1+cos150)/2
=(6-√3)/4