Q11 of 104 Page 188

If cos θ = , verify that tan2θ – sin2θ = tan2θ⋅ sin2θ


Let ∠B = θ


and BC = 2√2 and AB = 3


⇒ AC = 1 (by Pythagoras theorem)


we know that




⇒ tanθ =


⇒ sinθ =


L.H.S


tan2 – sin2


by the above values of tanθ and sinθ


tan2 – sin2




R.H.S



by the above values of tanθ and sinθ


tan2× sin2




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If sinB = prove that 3cosB – 4cos3B = 0.

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If tanA = √3, verify that

(1) sin2A + cos2A = 1


(2) sec2A – tan2A = 1


(3) 1 + cot2A = cosec2A

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In ΔABC, m∠B = 90, AC + BC = 25 and AB = 5, determine the value of sinA, cosA and tanA.

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In ΔABC, m∠C = 90 and m∠A = m∠B,

(1) Is cosA = cosB?


(2) Is tanA = tanB?


(3) Will the other trigonometric ratios of ∠A and ∠B be equal?