Convert the following angle from radian to degree `{:((a)(pi)/(4)"red",(b)(pi)/(6)"rad"),((c)(pi)/(3)"rad",(d)(3pi)/(4)"rad"),((e)(7pi)/(6)"rad",(f)(5

`L.H.S.=cos^2. pi/16+cos^2.(3pi)/16+cos^2(pi/2-(3pi)/16)` `+cos^2(pi/2-pi/16)` `=cos^2.pi/16+cos^2.(3pi)/16+sin^2.(3pi)/16+sin^2.pi/16` `=(cos^2. pi/16+sin^2. pi/16)+(cos^2(3pi)/16+sin^2(3pi)/16)` `=1+1=2`

Correct option is: (D) \(\frac{4}{9}\)π

a. T(K) = t°C +273.15  ∴ T(K) = -15 °C + 273.15  = 258.15 K b. T(K) = t°C +273.15  ∴ T(K) = 25°C + 273.15  = 298.15 K c. T(K) = t°C + 273.15  ∴ T(K)...

Correct Answer - `{:((a)(pi)/(6),(b)(pi)/(4),(c)(pi)/(3)),((d)(pi)/(2),(e)(2pi)/(3),(f)(3pi)/(4)),((g)(7pi)/(6),(h)(3pi)/(2),(i)(7pi)/(4)):}`

i. The relationship between degree Fahrenheit and degree Celsius is expressed as, °F = \(\frac{9}{5}\)(°C) + 32 ii. The relationship between Kelvin and degree Celsius is expressed as, K = °C + 273.15

Given :  Temperature in degree Fahrenheit = 50°F To find :  Temperature in degree Celsius Formula : °F = \(\frac{9}{5}\)(°C) + 32 Calculation :  Substituting 50°F in the formula, °F = \(\frac{9}{5}\)(°C) + 32 50 =  \(\frac{9}{5}\)(°C) + 32 °C = \(\frac{(50-32)\times 5}{9}\)  = 10°C ii. Given :  Temperature in...

Correct answer is (B) π/6

Correct Answer - `(i) 9/20 (ii) 7/20 (iii) 4/5 (iv) 11/20 (v) 13/20`

Correct option is  C) NaOH

C) A + d = i1 + i2