Fundamentals of Trigonometry

MM

Mashaal Masha

Dec 18, 2022

Choose the correct options for the following questions.

If $\alpha, \beta\:and\:\gamma$ are the measures of angles of a triangle and a,b and c are the lengths of opposite these angles, then according to law of sine

Difficulty: Easy

A:

a^{2}=b^{2}+c^{2}-2bc\sin\alpha

B:

a^{2}=b^{2}+c^{2}-2bc\cos\alpha

C:

c^{2}=a^{2}+b^{2}-2ab\sin\alpha

D:

$\frac{a}{\sin\alpha}=\frac{b}{\sin\alpha}=\frac{c}{\sin\alpha}

In the following triangle ABC, the value of the angle $\beta$ is

Difficulty: Easy

A:

101^{\circ}6'

B:

45^{\circ}

C:

25^{\circ}

D:

33^{\circ}40'