Write ‘True’ or ‘False’ and justify your answer.
tanθ increases faster than sinθ as θ increases.
Write ‘True’ or ‘False’ and justify your answer.
The value of tanθ (θ < 90°) increases as θ increases.
Write ‘True’ or ‘False’ and justify your answer.
The value of sinθ + cosθ is always greater than 1
sin (45° + θ) – cos (45° – θ) is equal to
(A) 2cosθ (B) 0 (C) 2sinθ (D) 1
If sinθ – cosθ = 0, then the value of (sin4θ + cos4θ) is
(A) 1 (B)3/4 (C)1/2 (D)1/4
Given that sinα = 1/2 and cosβ =1/2 , then the value of (α + β) is
(A) 0° (B) 30° (C) 60° (D) 90°
If sinA + sin2A = 1, then the value of the expression (cos2A + cos4A) is
(A) 1 (B) 1/2(C) 2 (D) 3 2
The value of (tan1° tan2° tan3° … tan89°) is
(A) 0 (B) 1 (C) 2 (D) 1/2
If cos (α + β) = 0, then sin (α – β) can be reduced to
(A) cos β (B) cos 2β (C) sin α (D) sin 2α