Related InterviewSolutions

• If `sin theta=-(1)/(2)` and ` tan theta=(1)/sqrt(3)` then `theta` is equal to :-A. `30^(@)`B. `150^(@)`C. `210^(@)`D. none of these
• Find the value of `6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4`
• If `s intheta+sin^2theta1=1,`then prove that `cos^(12)theta+3cos^8theta+cos^6theta-1=0`Given that `s i lntheta=1-sin^2theta=1-sin^2theta=cos^2theta`
• P(x)=`(x-cos36^@)(x-cos84^@)(x-cos156^@)` then coefficient of `x^2` isA. `(3)/(2)`B. `-(3)/(2)`C. `-(3)/(4)`D. zero
• P(x)=`(x-cos36^@)(x-cos84^@)(x-cos156^@)` then coefficient of `x^2` is
• Calculate without using trigonometric tables:A. `4 cos 20^(@)-sqrt(3)cot20^(@)`B. `(2cos40^(@)-cos20^(@))/(sin20^(@))`C. `cos^(6)(pi)/(16)+cos^(6)(3pi)/(16)+cos^(6)(5pi)/(16)+cos^(6)(7pi)/(16)`D. `tan10^(@)-tan50^(@)+tan70^(@)`
• Prove that `tan 70^(@)=cot70^(@)++2cot40^(@)`