Trigonometric Identities and Trigonometric Ratios of Complementary Angles Solved problems

http://www.learncbse.in/ncert-class-10-math-solutions/

http://www.learncbse.in/ncert-solutions-for-class-10-maths-chapter-8-introduction-to-trigonometry/

http://www.learncbse.in/rd-sharma-class-10-solutions-chapter-5-trigonometric-ratios/

00:03 NCERT Solutions for CBSE Class 10 Maths Trigonometry Ex 8.4 Q3. Evaluate :

00:31 (i)

01:03 COMPLEMENTARY ANGLES DEFINATION

Two angles are said to be complementary if their sum equals 90° pair of complementary angles A and (90° – A).

make same numerator & denominator by using the trigonometric ratios of complementary angles relationship.

sin (90°– A) = cos A, cos (90°– A) = sin A

02:57 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

03:37 (ii)

04:18 COMPLEMENTARY ANGLES

complementary angles are defined pair of two angles whose as sum equals 90°.

make same trigonometric ratios using trigonometric ratios of complementary angles relationship.

sin (90°– A) = cos A, cos (90°– A) = sin A

06:06 NCERT Solutions for CBSE Class 10 Maths Trigonometry Ex 8.4 Q4. Choose the correct option. Justify your choice.

06 :23 (i)

06:29 Use Pythagorian Identity

secant squared theta minus tan squared theta = 1

06:51 (ii)

substitute the given angles

07:40 simplifying radicals

08:15 (iii)

08:30 reciprocal identity

09:16 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

09:51 (iv)

10:08 reciprocal identity

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