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Find the angle between minute hand of a clock and hour hand when time is 7 : 20 AM?
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7 hours 20 minutes =
In , hour hand will cover
In 20 minutes, minute hand will cover = 20 × 6 = 120°
angle difference = (220 – 120) = 100°
Sec (180 + θ) = ?
Sec (180 + θ) = – Sec θ
Since "180 + θ" Falls in 3rd quadrant.
The value of 1° in radian is? [up to 6 digit of decimal]
1° =
= 0.017453
If A, B, C are interior angles of triangle ABC, then tan open parentheses fraction numerator straight B space plus space straight C over denominator 2 end fraction close parentheses space equals space ?
(A + B + C) = 180°
B +C = 180 – A
So
Cot 12° Cot 38° Cot 52° Cot 60° Cot 78° = ?
Cot 12° Cot 38° Cot 52° Cot 60° Cot 78°
⇒ (Cot 12° tan 12°) (Cot 38° tan 38°) Cot 60°
(Sin θ + Cosec θ)2 + (Cos θ + Sec θ)2 = ?
(Sin θ + Cosec θ)2 + (Cos θ + Sec θ)2
⇒ (Sin2θ + Cosec2θ + 2) + (Cos2θ + Sec2θ + 2)
⇒ (Sin2θ + Cos2θ) + (Cosec2θ + Sec2θ + 4)
= 1 + 4 + (1 + tan2θ) + (1 + cot2θ)
= 7 + tan2θ + cot2θ
If a cos θ + b sin θ = m and a sin θ – b cos θ = n then m^2 + n^2 = ?
a cos θ + b sin θ = m
a sin θ – b cos θ = n
Squaring and adding a^2 + b^2 = m^2 + n^2
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