The value of `cos 1^@ cos 2^@ cos 3^@... cos 179^@` isA. `(1)/(sqrt(2) – InterviewSolution

InterviewSolution

1.	The value of `cos 1^@ cos 2^@ cos 3^@... cos 179^@` isA. `(1)/(sqrt(2))`B. 0C. 1D. -1
Answer» Correct Answer - B Given expression, `cos1^(@) cos2^(@) cos3^(@)...cos179^(@)` `" "=cos1^(@)cos2^(@)...cos90^(@)...cos179^(@)" "[becausecos90^(@)=0]` ltBrgt =0

Discussion

No Comment Found

Related InterviewSolutions

In an acute angled `triangle ABC`, the minimum value of `tanA tanB tanC` is
Consider the system of linear equations in `x , ya n dz :``""(sin3theta)x-y+z=0(cos2theta)x+4y+3z=0``3x+7y+7z=0`Which of the following can be the value of `theta`for which the system has a non-trivial solution`npi+(-1)^npi/6,AAn in Z``npi+(-1)^npi/3,AAn in Z``npi+(-1)^npi/9,AAn in Z`none of these
In `(0, 4pi)`, the number of solutions of `2sin^(2)theta=cos2theta` areA. `4`B. `2`C. `8`D. `6`
If `f(theta)=(1-sin2theta+cos2theta)/(2cos2theta)`, then value of `8f(11^0)*f(34^0)`is ____
If A = `4 sin theta + cos^(2) theta` , which of the following is not true ?(A) Maximum value of A is 5 .(B) Minimum value of A is `-4`(C) Maximum value of A occurs when `sin theta = 1//2`(D) Minimum value of A occurs when `sin theta = 1`.A. Maximum value of A is 5 .B. Minimum value of A is `-4`C. Maximum value of A occurs when `sin theta = 1//2`D. Minimum value of A occurs when `sin theta = 1`.
Show that the equation `sintheta=x+1/x`is not possible if `x`is real.
In `(0, 2pi)`, the number of solutions of `cos2theta=sintheta` areA. `1`B. `2`C. `3`D. `4`
Find the values of x for which `3costheta=x^2-8x+19` holds good.
Find the number of solution of `theta in [0,2pi]`satisfying the equation `((log)_(sqrt(3))tantheta(sqrt((log)_(tantheta)3+(log)_(sqrt(3))3sqrt(3))=-1`
If `sin alpha + sin beta = a and cos alpha + cos beta =b`, show that `sin(alpha+beta)=(2ab)/(alpha^2+beta^2)`