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MathematicsHard
Trigonometry
Trig Identities

Find the value of tan 6 tan 42 tan 66 tan 78.

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MathematicsHard
Trigonometry
Trig Identities

In a triangle ABC, sin 2A + sin 2B + sin 2C equals:

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MathematicsHard
Trigonometry
Trig Identities

If tan(A/2) = t, then cos A = ?

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MathematicsHard
Trigonometry
Trig Identities

What is the value of cot 15 + cot 75?

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MathematicsHard
Trigonometry
Trig Identities

In triangle ABC, cos^2 A + cos^2 B + cos^2 C = ?

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MathematicsHard
Trigonometry
Trig Identities

Simplify: cos x / (1 - sin x)

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MathematicsHard
Trigonometry
Trig Identities

Value of sin^2 10 + sin^2 20 + ... + sin^2 90 is:

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MathematicsHard
Trigonometry
Trig Identities

If cos A + cos B = 0 and sin A + sin B = 0, then cos(A-B) is:

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MathematicsHard
Trigonometry
Trig Identities

The value of tan 20 + tan 40 + sqrt(3) tan 20 tan 40 is:

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MathematicsHard
Trigonometry
Trig Identities

If sin A + sin B + sin C = 4 cos(A/2) cos(B/2) cos(C/2), then A+B+C is:

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MathematicsHard
Trigonometry
Trig Identities

Value of cos(pi/7) cos(2pi/7) cos(4pi/7) is:

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MathematicsHard
Trigonometry
Trig Identities

In ABC, cot A/2 + cot B/2 + cot C/2 = ?

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MathematicsHard
Trigonometry
Trig Identities

Simplify (1 + sin 2A + cos 2A) / (1 + sin 2A - cos 2A).

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MathematicsHard
Trigonometry
Trig Identities

If x = r cos T sin P, y = r cos T cos P, z = r sin T, then x^2 + y^2 + z^2 = ?

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MathematicsHard
Trigonometry
Trig Identities

The maximum value of 3 sin x + 4 cos x is:

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MathematicsHard
Trigonometry
Trig Identities

Simplify sin^6 A + cos^6 A + 3 sin^2 A cos^2 A.

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MathematicsHard
Trigonometry
Trig Identities

If cos A / a = cos B / b, then the triangle is:

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MathematicsHard
Trigonometry
Trig Identities

Value of tan 20 tan 40 tan 80 is:

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MathematicsHard
Trigonometry
Trig Identities

Simplify: cos^2 A + cos^2(A+120) + cos^2(A-120).

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MathematicsHard
Trigonometry
Trig Identities

If A+B+C = 180, then sin^2 A + sin^2 B - sin^2 C = ?

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