Home
Class 11
MATHS
"sin"((pi)/(2)-x) is equal to:...

`"sin"((pi)/(2)-x)` is equal to:

A

`"sin" x`

B

`-"sin" x`

C

cos x

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \(\sin\left(\frac{\pi}{2} - x\right)\), we can use the co-function identity in trigonometry. Here are the steps to find the solution: ### Step 1: Identify the Co-function Identity The co-function identity states that: \[ \sin\left(\frac{\pi}{2} - x\right) = \cos(x) \] ### Step 2: Apply the Identity Using the identity from Step 1, we can directly substitute: \[ \sin\left(\frac{\pi}{2} - x\right) = \cos(x) \] ### Step 3: Conclusion Thus, we conclude that: \[ \sin\left(\frac{\pi}{2} - x\right) = \cos(x) \] ### Final Answer The final answer is: \[ \cos(x) \] ---
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTIONS)|5 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(o)Long Answer type Question-I|15 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|cos x-sin x|, then f'((pi)/(2)) is equal to

The expression (tan(x-(pi)/(2))cos((3 pi)/(2)+x)-sin^(3)((7 pi)/(2)-x))/(cos(x-(pi)/(2))tan((3 pi)/(2)+x)) is equal to

The soluation set of inequality (sin x+cos^(-1)x)-(cos x-sin^(-1)x)>=(pi)/(2) is equal to

The value of sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x))) where x in((pi)/(2),pi), is equal to (pi)/(2)(b)-pi(c)pi (d) -(pi)/(2)

sin((pi)/(2)+theta)+sin((3 pi)/(2)+theta)+sin((5 pi)/(2)+theta)+sin((7 pi)/(2)+theta) is equal to

Number of solutions of the equation,sin^(-1)(1-x)-4sin^(-1)(x)=(pi)/(2), is equal to

The total number of ordered pair(x,y) satisfying |x|+|y|=4,sin((pi x^(2))/(3))=1 is equal to

int_(0)^(1)log sin((pi)/(2)x)dx equals

lim_(x rarr0)(sin(pi sin^(2)x))/(x^(2)) is equal to