NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry|अध्याय 8 त्रिकोणमिति का परिचय
Trigonometric Ratios of Complementary Angles
पूरक कोणों के त्रिकोणमितीय अनुपात
SHM PATHSHALA
Exercise 8.3
shm pathshala
Complementary Angles(संपूरक कोण:)
two angles are said to be complementary if their sum equals 90°.
दो कोणों को पूरक कहा जाता है यदि उनका योग 90° के बराबर हो।
sin (90° – A) = cos A,
cos (90° – A) = sin A
,
tan (90° – A) = cot A,
cot (90° – A) = tan A,
sec (90° – A) = cosecA,
cosec (90° – A) = sec A,
1. Evaluate :
(i)sin 18/cos 72
(ii) tan 26/cot 64
(iii) cos 48° – sin 42°
(iv) cosec 31° – sec 59°
2. Show that :
(i) tan 48° tan 23° tan 42° tan 67° = 1
(ii) cos 38° cos 52° – sin 38° sin 52° = 0
3. If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.
3. यदि tan 2A = cot (A - 18°), जहां 2A एक न्यून कोण है, तो A का मान ज्ञात कीजिए।
4. If tan A = cot B, prove that A + B = 90°.
4. यदि tan A = cot B, सिद्ध कीजिए कि A + B = 90°।
5. If sec 4A = cosec (A – 20°), where 4A is an acute angle, find the value of A
5. यदि sec 4A = cosec (A - 20°), जहाँ 4A न्यून कोण है, A का मान ज्ञात कीजिए।
6. If A, B and C are interior angles of a triangle ABC, then show that
6. If A, B and C are interior angles of a triangle ABC, then show that
6. यदि A, B और C एक त्रिभुज ABC के अंतः कोण हैं, तो दर्शाइए कि
7. Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.
7. Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.
7. sin 67° + cos 75° को 0° और 45° के कोणों के त्रिकोणमितीय अनुपातों में व्यक्त करें।
shmpathshala , by Sandeep Sir
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