(A) 1/√3 (B) √3 (C) 1 (D) 0 (C) 1 As indicated by the inquiry, \[cos\text{ }9\propto =\text{ }sin\propto and\text{ }9\propto <90{}^\circ \] for example 9α is an intense point We realize that,...
The value of (tan1° tan2° tan3° … tan89°) is
(A) 0 (B) 1 (C) 2 (D) ½ (B) 1 tan 1°. tan 2°.tan 3° … tan 89° =tan1°.tan 2°.tan 3°… tan 43°.tan 44°.tan 45°.tan 46°.tan 47°… tan 87°.tan 88°.tan 89° Since, tan 45° = 1, = tan1°.tan 2°.tan 3°… tan...
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 (B) cos 2β As indicated by the inquiry, \[cos\left( \alpha +\beta \right)\text{ }=\text{ }0\] Since, cos 90° = 0 We can compose, \[cos\left( \alpha...
Given that sinθ = a b , then cosθ is equal to
(A) b/√(b2– a2) (B) b/a (C) √(b2-a2)/b (D) a/√(b2-a2) (C) √(b2 – a2)/b As indicated by the inquiry, \[sin\text{ }\theta \text{ }=a/b\] We know, \[sin2\text{ }\theta \text{ }+cos2\text{ }\theta...
The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is
(A) – 1 (B) 0 (C) 1 (D) 3 2 (B) 0 As indicated by the inquiry, We need to discover the worth of the situation, \[cosec\left( 75{}^\circ +\theta \right)\text{ }\text{ }sec\left( 15{}^\circ...
If sin A = ½ , then the value of cot A is
(A) √3 (B) 1/√3 (C) √3/2 (D) 1 (A) √3 As indicated by the inquiry, \[Sin\text{ }A\text{ }=\text{ }{\scriptscriptstyle 1\!/\!{ }_2}\text{ }\ldots \text{ }\left( 1 \right)\] We realize that, NCERT...
Choose the correct answer from the given four options: If cos A = 4/5, then the value of tan A is
(A) 3/5 (B) ¾ (C) 4/3 (D) 5/3 (B) 3/4 As indicated by the inquiry, \[cos\text{ }A\text{ }=\text{ }4/5\text{ }\ldots \text{ }\left( 1 \right)\] We know, \[tan\text{ }A\text{ }=\text{ }sinA/cosA\] To...