Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
(a) Rewrite
sin
2
15
∘
\sin^{2}15^{\circ}
sin
2
1
5
∘
as the cosine of a single angle and simplify the result to an exact value in surd form. (b) Without using a calculator or trigonometric tables, determine the exact value of
sin
2
15
∘
+
sin
2
75
∘
\sin^{2}15^{\circ}+\sin^{2}75^{\circ}
sin
2
1
5
∘
+
sin
2
7
5
∘
.
Browse the problem library