Trigonometry Answers

If F(x) = x² + 2 and G(x) = 2/x, find (G ○ F)(2)

Solve the trigonometric equation:-

3cos^2x - 2 root 3 sinx cosx - 3sin^2x = 0

Q. Prove the identity:
& 1 - (sin[sup]2[/sup]x/(1+cotx)) - (cos[sup]2[/sup]x/(1+tanx)) = sin x cos x

If there is a square of side 'a'. At the centre of the square there is situated a tower of height 'h', from the top of the tower the angle at the top and the line joining the vertex is 60 degrees. Find the height of the tower?

Find sin(2θ) Use the fact that cos(θ)=1/6 and 0°≤θ≤90°

The Sea Dragon, a pendulum ride at an amusement park, moves from its central position at rest according to the trigonometric function P(t)= -10sin(π/3t), where t represents time in seconds. How many seconds does it take the pendulum to complete one full cycle?

sinA/cotA+cosecA

How do you read values from a trigonometric period function has period 4 Pi / 3 and range [-1,1] ?

Show that:-
(i) sin 18° = (√5-1)/4
(ii)Evaluate tan 11.¼°

If A+B+C=180 or if A+B+C=π, prove that asin(B-C)+bsin(C-A)+csin(A-B)=0.