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Introduction to Trignometry & its Equation

Write ‘True’ or ‘False’ and justify your answer.

The value of the expression (sin 80° – cos 80°) is negative.

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

Write ‘True’ or ‘False’ and justify your answer.

The value of the expression (cos2 23° – sin2 67°) is positive.

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

Write ‘True’ or ‘False’ and justify your answer.

The value of sinθ is  a + 1/a , where ‘a’ is a positive number.

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

Write ‘True’ or ‘False’ and justify your answer.

 tanθ increases faster than sinθ as θ increases.

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

Write ‘True’ or ‘False’ and justify your answer.

The value of tanθ (θ < 90°) increases as θ increases.

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

Write ‘True’ or ‘False’ and justify your answer.

The value of sinθ + cosθ is always greater than 1

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

 sin (45° + θ) – cos (45° – θ) is equal to

(A) 2cosθ (B) 0 (C) 2sinθ (D) 1

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

If sinθ – cosθ = 0, then the value of (sin4θ + cos4θ) is

 

(A) 1 (B)3/4 (C)1/2 (D)1/4

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

Given that sinα = 1/2  and cosβ =1/2  , then the value of (α + β) is

(A) 0° (B) 30° (C) 60° (D) 90° 

08/11/2024

Mathematics

10th

Introduction to Trignometry & its Equation

If sinA + sin2A = 1, then the value of the expression (cos2A + cos4A) is

(A) 1 (B) 1/2(C) 2 (D) 3 2

08/11/2024

Mathematics

10th