Related InterviewSolutions

• Prove the following trigonometric identities:sec A(1 - sin A)(sec A + tan A) = 1
• Prove the following trigonometric identities:\(\frac{1-cosθ}{sinθ}=\frac{sinθ}{1+cosθ}\)
• If cosθ = \(\frac{4}{5}\) ,find all other trigonometric ratios of angle θ .
• Express the following  terms of trigonometric ratios of angles 0° to 45°.(i) sin 81° + sin 71°(ii) tan 68° + sec 68°
• If cos θ = \(\frac{4}{5}\), find all other trigonometric ratios of angle θ.
• cos4A − sin4A is equal to A. 2 cos2A + 1 B. 2 cos2A − 1 C. 2 sin2A − 1 D. 2 sin2A + 1
• If sinθ + cosθ = x, prove that sin6θ + cos6θ = \(\frac{4-3(x^2-1)^2}{4}\)
• Prove:sin2 A cot2 A + cos2 A tan2 A = 1
• Write the value of sinθ cos(90°-θ)+cosθ sin(90°-θ).
• In a right ∆ABC , right-angled at B, if tan A = 1 , then verify that 2 sin A·cos A = 1.