27 Jul 2016

QUESTIONS ON TRIGONOMETRY (PART-5)

QUESTIONS ON TRIGONOMETRY (PART-5) QUERY 41 If sec θ + tan θ = p, then sin θ is? A) 1⁄(p²+1) B) 1⁄(p²-1) C) (p²+1)⁄(p²-1) D) (p²-1)⁄(p²+1) MAHA GUPTA sec θ + tan θ = p (given)                                      

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06 May 2016

QUESTIONS ON HEIGHTS & DISTANCES (PART-3)

QUESTIONS ON HEIGHTS & DISTANCES (PART-3) QUERY 21 On the same side of a tower two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately

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05 May 2016

QUESTIONS ON HEIGHTS & DISTANCES (PART-2)

QUESTIONS ON HEIGHTS & DISTANCES (PART-2) QUERY 11 A vertical pole fixed to the ground is divided in the ratio 1:9 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 15 m away

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24 Aug 2014

QUESTIONS ON HEIGHTS & DISTANCES (PART-1)

QUESTIONS ON HEIGHTS & DISTANCES (PART-1) QUERY 1 A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards it the tower is found to subtend an angle twice as before. The height

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24 Aug 2014

QUESTIONS ON TRIGONOMETRY (PART-4)

QUESTIONS ON TRIGONOMETRY (PART-4) QUERY 31 If sec θ + tan θ = p, then (p² -1)⁄(p² + 1) is equal to A) sin θ B) cos θ C) sec θ D) tan θ SHIV KISHOR sec@ + tan@ = p => p²⁄1 = (sec²@ + tan²@ + 2sec@tan@)⁄1 applying componendo and dividendo rule (p² -1)⁄(p²

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24 Aug 2014

QUESTIONS ON TRIGONOMETRY (PART-3)

QUESTIONS ON TRIGONOMETRY (PART-3) QUERY 21 If Sin A = 3Sin (A+2B), then find the value of tan (A+B) + 2tan B A) 1 B) 2 C) 4 D) 0 SHIV KISHOR QUERY 22 If sec@ + tan@ = 2+√5; then sin@ + cos@ = ? A) √3 B) 1/√5

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24 Aug 2014

QUESTIONS ON TRIGONOMETRY (PART-2)

QUESTIONS ON TRIGONOMETRY (PART-2) QUERY 11 If sin 7x = cos 11x, then the value of tan 9x + cot 9x is? A) 4 B) 1 C) 2 D) 3 Shivam Bajpai sin 7x = cos (90 – 7x) So, cos (90 – 7x) = cos 11x => 90 –

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24 Aug 2014

QUESTIONS ON TRIGONOMETRY (PART-1)

SIN & COS (SINE & COSINE RULES) SHIV KISHOR QUERY 1 If cosx + secx = 3; then (tanx)² – (sinx)² =9 A) 4 B) 5 C) 13 D) 8 Atul Roy tanx² ­- sinx² = (secx² ­- 1) ­- (1 ­- cosx²) = secx² + cosx² ­- 2 =

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24 May 2014

HOW TO FIND MAXIMUM & MINIMUM VALUES OF TRIGONOMETRIC EXPRESSIONS

HOW TO FIND MAXIMUM & MINIMUM VALUES OF TRIGONOMETRIC EXPRESSIONS IN BOTH ENGLISH AND HINDI VERSIONS SHIV KISHOR MINIMUM MAXIMUM TABLE Observe that in case of sin² θ and cos² θ, the minimum value is 0 and not (-1). Why does this happen? because (-1)²=+1 ENGLISH VERSION Here are some

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