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

102615 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate cos(x)sin^2(x)


Find dy/dx for y = x^3*e^x*cos(x)


Use the chain rule to differentiate y=1/x^2-2x-1


How many books and modules and what are they all about?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences