Solve: (cos2 theta – 1)/sin2 theta

{ cot }^{ 2 }\theta -\frac { 1 }{ { sin }^{ 2 }\theta } is equal to
(a) 1
(b) -1
(c) sin2 θ
(d) sec2 θ

Solution:

{ cot }^{ 2 }\theta -\frac { 1 }{ { sin }^{ 2 }\theta }
= \frac { { cos }^{ 2 }\theta }{ { sin }^{ 2 }\theta } -\frac { 1 }{ { sin }^{ 2 }\theta }

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities MCQS Q1.1

(sec2 θ – 1) (1 – cosec2 θ) is equal to
(a) – 1
(b) 1
(c) 0
(d) 2

Solution:

(sec2 θ – 1) (1 – cosec2 θ)
= \left( \frac { 1 }{ { cos }^{ 2 }\theta } -1 \right) \left( 1-\frac { 1 }{ { sin }^{ 2 }\theta } \right)

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities MCQS Q2.1

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