Trigonometry Answers

Find the remaining parts of a quadrantal triangle (c = 90°).

1.) a = 70°10’ b = 52°40’

2.) a = 116°53’ A = 122°39’

3.) b = 69°29.7’ B = 63°4.6’

4.) a = 106°38’ b = 36°49’

5.) A = 52°55’ b = 73°11’

Solve the following quadrantal spherical triangle.

1.)a= 49° 23' , b = 76° 41'

2.) B = 100° , b = 50° 10' 

3.) A = 121° 20' , B = 42° 01 '

4.) a = 60° 35' , B = 122° 18'  

In the figure below N is the foot of the perpendicular from P to the side QR of 🔺 PQR, if QN=x cm NR=2x CM,  and PQR =35°, write down an expression for PN in terms of x and hence PRQ

given that tan y=√2, where x and y are acute angles. find cos y?

Using complex numbers, prove that the, angles A, B and C of a planar triangle satisfy the relations

(i) cos^2 A + cos^2 B + cos^2 C = 1 − 2 cos A cos B cos C

(ii) sin 2A + sin 2B + sin 2C = 4 sin A sin B sin C.