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Find the exact value of sin(75°). Give your answer in its simplest form.

sin(A+B) ≡ sin(A)cos(B) + sin(B)cos(A) ⇒ sin(75°) = sin(30+45)° = sin(30°)cos(45°) + sin(45°)cos(30°) = ½ × 1/√2 + 1/√2 ×(√3)/2 = 1/(2√2) + (√3)/(2√2) = (1+√3)/(2√2)
LM
Answered by Leigh M. Maths tutor
105279 Views

What is the differential of e^x?

e^x, the differential of the exponential function is itself.
AL
Answered by Adam L. Maths tutor
5563 Views

What is the velocity of the line from vector A(3i+2j+5k) to vector B(10i-3j+2k)?

Simply take B from A i = 10-3=7 j= -3-2=-5 k= 2-5=-3 SO the velocity is (7i-5j-3k)
SM
Answered by Sameer M. Maths tutor
3956 Views

Differentiate 3x^2 + 6x^5 + 2/x

dy/dx= 6x + 30x^4 - 2/x^2
SM
Answered by Sameer M. Maths tutor
4408 Views

What is integration?

Integration is a process in which we are able to find out how much area is encapsulated under a curve. Let's say we want to find the area between x = 0 and x = 10 of a curve. Generally, we take the curve fun...
RL
Answered by Reece L. Maths tutor
3701 Views