Question

If sin theta =cos (2theta -45°) then value of tan theta

Answer 1

Step-by-step explanation:

sin theta= cos(2theta-45°)

or, cos(90°- theta)= cos (2 theta- 45°)

or, 90°-theta=2 theta- 45°

or,3 theta=135°

so, theta= 45°

so tan theta is equals to tan 45°=1

I wish it may help you.......

Answer 2

The value of tanθ is 1

Step-by-step explanation:

Given that,

sinθ = cos(2θ - 45°)

or, sinθ = sin{90° - (2θ - 45°)} [∵ sin(90° - A) = cosA]

or, sinθ = sin(135° - 2θ)

Equating from both sides, we get

θ = 135° - 2θ

or, 3θ = 135°

or, θ = 45°

∴ tanθ = tan45°

= 1

Trigonometry: Trigonometry is the study of angles and relations between angles and their sin, cos, tan, cosec, sec, cot ratios. There are many formulae for calculations:

• sin²A + cos²A = 1

• sec²A - tan²A = 1

• cosec²A - cot²A = 1

• sin2A = 2 sinA cosA

• cos2A = cos²A - sin²A

• tan2A = 2 tanA / (1 - tan²A)

• sin(90° - A) = cosA

• cos(90° - A) = sinA