If ∆ABC is right angled at C, find the value of cos(A + B). NCERT Exemplar
If sin θ – cos θ = 0, (0 ≤ θ≤ 90°), find the value of θ.
In an acute ∆ABC, if tan (A + B – C) = 1 and sec (B + C – A) = 2, find the angles A, B and C.
If sin = cos (3θ – 50°), find the value of θ and hence evaluate
tanθ secθ sinθ – cotθ sinθ cosθ.
If A, B, C are the angles of a ∆ABC, prove that
If sin , what is the value of cos A?
If tan , find the value of sec θ.
If sin , find the value of sin A.
In the following figure, ∆ABC is right angled at B and tan , find the length of AC.
If 17 cos A = 8, find 15 cosec A – 8 sec B.
If and α is an acute angle, find the value of (3cosα – 4cos3α).
If 3 tan A = 4, prove that
(i) .
(ii) .
If , find the value of .
Prove that .
Prove that (1 + tan A + cos A) (sin A – cos A) = sin A tan A – cot A cos A. CBSE 2015
If , prove that .
Find the value of (cosec2 θ – 1) tan2 θ.
Prove that
Show that
Prove that
Find the values of the constant a and b for which sin x x cos x (5 tan x + 2 cot x) = a + b sin2 x. CBSE 2009
Prove that
Prove that
(i) CBSE 2010, 08
(ii) CBSE 2010
Prove that
Prove that CBSE 2015
Prove that (cosecθ– sinθ) (secθ – cosθ) = sinθ · cosθ = CBSE 2016
Prove that CBSE 2016
Prove that CBSE 2015
Prove that . CBSE 2015
Given that 2sin A cos A +(cos A + sin A)2 – (2 cos A + sin A)2 = p sin2 A + q. Find the value of p and q.
Prove that CBSE 2008
Prove that q (p2 – 1) = 2p, where and NCERT Exemplar; CBSE 2016
If , show that . Hence find the value of and . CBSE 2015
Prove that CBSE 2015
If , prove that CBSE 2004, 11
Show that
Given that and , what is the value of ? NCERT Exemplar
If and , find the value of CBSE 2010
Find and acute angle θ, when .
If , find the value of θ.
Prove that . NCERT Exemplar
Prove that .
Prove that .
If , find the value of .
Find the value of . NCERT Exemplar
If , find the value of
If , find the value of
If , prove that
In right angled , AB = 29 units and BC = 21 units. If , find and .
Draw a , right angled at C and
In the given figure, is right angled at B. is right angled at S and is right angled at R, AB = 18 cm, BC = 7.5 cm, RS = 5 cm, RB = 6 cm, and , Find
(i)
(ii)
(iii)
If , find the value of θ. NCERT Exemplar
If , prove that
Prove that
If , find the value of .
Prove that NCERT Exemplar
Eliminate θ from the following equations.
(i)
(ii)
If , find the value of
Evaluate CBSE 2015
Prove
Prove that
If find the value of
Evaluate CBSE 2015
Prove that
If prove that .
Prove that
Prove that
Find the value of
Prove that CBSE 2008
If tan A = a tan B and sin A = b sin B, prove that
If and then prove that
Soni was trying hard to prove , when Her classmate Swati gave her a hint of squaring both sides of and proceed further.
Following her hint, Soni was able to solve the problem and she thanks Swati for this hint.
(i) Write the solution of the problem.
(ii) What value is depicted here?