Question

verify sin² teta +cos² teta =1 for teta = 0⁰,30⁰,45⁰,60⁰,90⁰​

Answer 1

Answer:

sin^2 thera + cos^2 thera =1

theta =0°

sin^20°+ cos^20°

=0+1=1

theta=30°

sin^230°+cos^230°

=1/4+3/4=4/4=1

theta=45°

sin^245°+cos^245°

=1/2+1/2=2/2=1

theta=60°

sin^260°+cos^260°

=3/4+1/4=4/4=1

thata=90°

sin^290°+ cos^290°

=1+0=1

Trigonometry Ratios Table

0°. 30°. 45°. 60°. 90°

sin 0 1/2. 1/_/2. _/3/2. 1

cos 1. _/3/2. 1/_/2. 1/2. 0

tan 0. 1/_/3. 1. _/3 infinity

Hope it helps