Desmos Graphing Calculator

CalcReferenceCopy

Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

In the given expression, a and b are constants such that $\sin a^{\circ }=0.50$ and $\cos b^{\circ }=0.99$, and $0<b<90$. What is the value of the given expression: $2\cos (90-a{)}^{\circ }\cdot \cos b^{\circ }+\sin a^{\circ }\cdot \sin (90-b{)}^{\circ }$?

1

1.485