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In given figure, find tan P – cot R.
If sin A = \(\frac { 3 }{ 4 }\) , calculate cos A and tan A.
Given 15 cot A = 8, find sin A and sec A.
Given sec θ = \(\frac { 13 }{ 12 }\) , calculate all other trigonometric ratios.
If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
If cot θ = \(\frac { 7 }{ 8 }\), evaluate: (i) \(\frac { \left( 1+sin\theta \right) \left( 1-sin\theta \right) }{ \left( 1+cos\theta \right) \left(...
If 3 cot A = 4, check whether \(\frac { 1-tan^{ 2 }A }{ 1+tan^{ 2 }A }\) = cos² A – sin² A or not.
In triangle ABC, right angled at B, if tan A = \(\frac { 1 }{ \surd 3 }\), find the value of: (i) sin A cos C + cos A sin C (ii) cos A cos C – sin A...
In ΔPQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
State whether the following statements are true or false. Justify your answer. (i) The value of tan A is always less than 1. (ii) sec A = \(\frac {...
If tan (A + B) = √3 and tan (A – B) = \(\frac { 1 }{ \surd 3 }\); 0° < A + B ≤ 90°; A > B, find A and B.
Evaluate the following:
Choose the correct option and justify your choice:
State whether the following statements are true or false. Justify your answer. (i) sin (A + B) = sin A + sin B. (ii) The value of sin θ increases as...
Evaluate:
Show that: (i) tan 48° tan 23° tan 42° tan 67° = 1 (ii) cos 38° cos 52° – sin 38° sin 52° = 0
If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.
If tan A = cot B, prove that A + B = 90°.
If sec 4A = cosec (A – 20°), where 4A is an acute angle, find the value of A.
If A, B and C are interior angles of a triangle ABC, then show that: sin (\(\frac { B+C }{ 2 }\)) = cos \(\frac { A }{ 2 }\)
Express sin 61° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.
Ex 8.4 Class 10 Maths Question 2. Write all the other trigonometric ratios of ∠A in terms of sec A.
Ex 8.4 Class 10 Maths Question 3. Evaluate:
Ex 8.4 Class 10 Maths Question 5. Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
