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8 C

Solve for x:

To find: value of x

Given:

LHS = cos(sin^{-1} x) … (1)

Let sin θ = x

Therefore θ = sin^{-1} x … (2)

From the figure,

… (3)

From (2) and (3),

… (4)

Substituting (4) in (1), we get

LHS

Therefore,

Squaring and simplifying,

⇒ 81 – 81x^{2} = 1

⇒ 81x^{2} = 80

Therefore, are the required values of x.

1

1 A

Prove that:

1 B

Prove that:

3 A

Prove that:

3 B

Prove that:

3 C

Prove that:

3 D

Prove that:

4 A

Prove that:

4 B

Prove that:

4 C

Prove that:

4 D

Prove that:

5 A

Prove that:

5 B

Prove that:

5 C

Prove that:

6 A

Prove that:

6 B

Prove that:

6 C

Prove that:

6 D

Prove that:

6 E

Prove that:

6 F

Prove that:

6 G

Prove that:

6 H

Prove that:

7 A

Prove that:

7 B

Prove that:

7 C

Prove that:

7 D

Prove that:

7 E

Prove that:

7 F

Prove that:

7 G

Prove that:

8 A

Solve for x:

8 B

Solve for x:

8 C

Solve for x:

8 D

Solve for x:

8 E

Solve for x:

9 A

Solve for x :

9 B

Solve for x :

9 C

Solve for x :