#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# If sin​-1 x + sin​​-1 y = π/2,  then ​x​2 is equal to                                                      1) y​2                  2)(1-y)​1/2            3) 1 – y​2     4) 0

Shahid
74 Points
3 years ago
Dear Tushar ,
We Know that
Sin-1x + cos-1x = $\dpi{80} \Pi$/2
And Given is that Sin-1x + Sin-1y = $\dpi{80} \Pi$/2

Therefore , we get that...
Sin-1y = cos-1x
Sin-1y = Sin-1($\dpi{80} \sqrt{1 - x^{2}}$

Therefore
y = $\dpi{80} \sqrt{1 - x^{2}}$

On Squaring both sides .
we get

x​2  = 1 – y​2
ankit singh
9 months ago
his problem involves both differentiation as well as inverse trigonometric functions.

Now given that,

sin1x+sin1y=π2

sin1x=π2sin1y

sin1x=cos1y

y=cossin1x

dydx=sinsin1x.ddx(sin1x)

dydx=x11x2

dydx=x1x2.
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.askiitians.com/forums/Trigonometry/if-sin-1-x-sin-1-y-2-then-x-2-is_170557.htm", "fetch_time": 1618582684000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2021-17/segments/1618038066981.0/warc/CC-MAIN-20210416130611-20210416160611-00491.warc.gz", "warc_record_offset": 738197671, "warc_record_length": 36505, "token_count": 415, "char_count": 1083, "score": 3.609375, "int_score": 4, "crawl": "CC-MAIN-2021-17", "snapshot_type": "longest", "language": "en", "language_score": 0.6573343873023987, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00057-of-00064.parquet"}