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Trigonometry
Prove the following:
1) (1-sin^2 Q) sec^2 Q=1
2) cos^2Q (1+tan^2Q)=1
3) cos^2Q + 1/1+cot^2 Q=1
4) 1/1+sinQ + 1/1-sinQ=2sec^2Q
1) (1-sin^2 Q) sec^2 Q=1
2) cos^2Q (1+tan^2Q)=1
3) cos^2Q + 1/1+cot^2 Q=1
4) 1/1+sinQ + 1/1-sinQ=2sec^2Q
Trigonometry
If F(x) = x² + 2 and G(x) = 2/x, find (G ○ F)(2)
Trigonometry
Solve the trigonometric equation:-
3cos^2x - 2 root 3 sinx cosx - 3sin^2x = 0
3cos^2x - 2 root 3 sinx cosx - 3sin^2x = 0
Trigonometry
Q. Prove the identity:
& 1 - (sin[sup]2[/sup]x/(1+cotx)) - (cos[sup]2[/sup]x/(1+tanx)) = sin x cos x
& 1 - (sin[sup]2[/sup]x/(1+cotx)) - (cos[sup]2[/sup]x/(1+tanx)) = sin x cos x
Trigonometry
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?
Trigonometry
Find sin(2θ) Use the fact that cos(θ)=1/6 and 0°≤θ≤90°
Trigonometry
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?
Trigonometry
sinA/cotA+cosecA
Trigonometry
How do you read values from a trigonometric period function has period 4 Pi / 3 and range [-1,1] ?
Trigonometry
Show that:-
(i) sin 18° = (√5-1)/4
(ii)Evaluate tan 11.¼°
(i) sin 18° = (√5-1)/4
(ii)Evaluate tan 11.¼°
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#339914 on Dec 2023
#339914 on Dec 2023