Share
Notifications

View all notifications
Advertisement

Evaluate Sin 50^@/Cos 40^@ + (Cosec 40^@)/Sec 50^@ - 4 Cos 50^@ Cosec 40^@ - Mathematics

Login
Create free account


      Forgot password?

Question

Evaluate: `sin 50^@/cos 40^@ + (cosec 40^@)/sec 50^@  - 4 cos 50^@ cosec 40^@`

Solution

Sin 50° = sin (90° - 40°) = cos 40°

Cosec 40° = cosec (90° - 50°) = sec 50°

Cos 50° = cos (90° - 40°) = sin 40°

`=> cos 40^@/cos 40^@ + (sec 50^@)/(sec 50^@) - 4 sin 40^@ cosec 40^@`

1 + 1 – 4 = − 2        [∵ Sin 40° cosec 40° = 1]

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 10: Trigonometric Ratios
Ex. 10.3 | Q: 9.03 | Page no. 54
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 10: Trigonometric Ratios
Ex. 10.3 | Q: 9.03 | Page no. 54
Advertisement
Evaluate Sin 50^@/Cos 40^@ + (Cosec 40^@)/Sec 50^@ - 4 Cos 50^@ Cosec 40^@ Concept: Trigonometric Ratios of Some Specific Angles.
Advertisement
View in app×