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MathematicsMedium
Trigonometry
Trig Ratios
If x = a cos theta and y = b sin theta, then b^2 x^2 + a^2 y^2 is equal to:
MathematicsMedium
Trigonometry
Trig Ratios
Which of the following is equal to cos 90 degrees?
MathematicsMedium
Trigonometry
Trig Ratios
The value of (sin 30 + cos 30) - (sin 60 + cos 60) is:
MathematicsMedium
Trigonometry
Trig Ratios
If theta = 45 degrees, find the value of (cosec^2 theta - 1).
MathematicsMedium
Trigonometry
Trig Ratios
If sin A + sin^2 A = 1, find the value of cos^2 A + cos^4 A.
MathematicsMedium
Trigonometry
Trig Ratios
What is the value of (1 + tan theta + sec theta)(1 + cot theta - cosec theta)?
MathematicsMedium
Trigonometry
Trig Ratios
In a right triangle, if sin theta = a/b, then cos theta is:
MathematicsHard
Trigonometry
Trig Ratios
If tan A = 1 and tan B = sqrt(3), find cos A cos B - sin A sin B.
MathematicsHard
Trigonometry
Trig Ratios
Find the value of sqrt((1 + sin A) / (1 - sin A)).
MathematicsHard
Trigonometry
Trig Ratios
If sin theta + cos theta = sqrt(2) cos theta, find the value of cos theta - sin theta.